Edit in JSFiddle

// Create a new jsPDF instance. Make sure it's big enough to include
// the graph width and height
var pdf = new jsPDF('p', 'mm', [1000, 1400]);

// A counter to make sure that all the graph dataURLs have been generated
// properly since there is no callback option
var counter = 0;

// An array to store the dataURLs
var imgurls = [];

// Hook into the base Highcharts object to stop the download popup from
// showing up. If you comment the code below and click the Export button,
// an SVG download will be triggered. Try it!
Highcharts.downloadURL = function(dataURL, filename) {
    if (dataURL.length > 2000000) {
        dataURL = Highcharts.dataURLtoBlob(dataURL);
        if (!dataURL) {
            throw 'Data URL length limit reached';
        }
    }
    imgurls.push(dataURL);
    counter++;
};

$(function() {

    $('#btn').on('click', function() {

        $('#container').highcharts().exportChartLocal('image/svg+xml');
        $('#container2').highcharts().exportChartLocal('image/svg+xml');
        
        var interval = setInterval(function() {
            if (counter === 2) {
                clearInterval(interval);
                imgurls.forEach(function(img) {
                    pdf.addImage(img, 'SVG', 10, 10);
                    pdf.addPage();
                });
                pdf.save('test.pdf');
            }
        }, 100);

    });

});

// Scatter chart
Highcharts.chart('container', {
    chart: {
        type: 'scatter',
        zoomType: 'xy'
    },
    exporting: {
        enabled: false,
        fallbackToExportServer: false
    },
    title: {
        text: 'Height Versus Weight of 507 Individuals by Gender'
    },
    subtitle: {
        text: 'Source: Heinz  2003'
    },
    xAxis: {
        title: {
            enabled: true,
            text: 'Height (cm)'
        },
        startOnTick: true,
        endOnTick: true,
        showLastLabel: true
    },
    yAxis: {
        title: {
            text: 'Weight (kg)'
        }
    },
    legend: {
        layout: 'vertical',
        align: 'left',
        verticalAlign: 'top',
        x: 100,
        y: 70,
        floating: true,
        backgroundColor: (Highcharts.theme && Highcharts.theme.legendBackgroundColor) || '#FFFFFF',
        borderWidth: 1
    },
    plotOptions: {
        scatter: {
            marker: {
                radius: 5,
                states: {
                    hover: {
                        enabled: true,
                        lineColor: 'rgb(100,100,100)'
                    }
                }
            },
            states: {
                hover: {
                    marker: {
                        enabled: false
                    }
                }
            },
            tooltip: {
                headerFormat: '<b>{series.name}</b><br>',
                pointFormat: '{point.x} cm, {point.y} kg'
            }
        }
    },
    series: [{
        name: 'Female',
        color: 'rgba(223, 83, 83, .5)',
        data: [
            [161.2, 51.6],
            [167.5, 59.0],
            [159.5, 49.2],
            [157.0, 63.0],
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            [159.1, 47.6],
            [166.0, 69.8],
            [176.2, 66.8],
            [160.2, 75.2],
            [172.5, 55.2],
            [170.9, 54.2],
            [172.9, 62.5],
            [153.4, 42.0],
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            [147.2, 49.8],
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    }, {
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    }]
});

// Pie chart
Highcharts.chart('container2', {
    chart: {
        plotBackgroundColor: null,
        plotBorderWidth: null,
        plotShadow: false,
        type: 'pie'
    },
    exporting: {
        enabled: false,
        fallbackToExportServer: false
    },
    title: {
        text: 'Browser market shares in January, 2018'
    },
    tooltip: {
        pointFormat: '{series.name}: <b>{point.percentage:.1f}%</b>'
    },
    plotOptions: {
        pie: {
            allowPointSelect: true,
            cursor: 'pointer',
            dataLabels: {
                enabled: true,
                format: '<b>{point.name}</b>: {point.percentage:.1f} %',
                style: {
                    color: (Highcharts.theme && Highcharts.theme.contrastTextColor) || 'black'
                }
            }
        }
    },
    series: [{
        name: 'Brands',
        colorByPoint: true,
        data: [{
            name: 'Chrome',
            y: 61.41,
            sliced: true,
            selected: true
        }, {
            name: 'Internet Explorer',
            y: 11.84
        }, {
            name: 'Firefox',
            y: 10.85
        }, {
            name: 'Edge',
            y: 4.67
        }, {
            name: 'Safari',
            y: 4.18
        }, {
            name: 'Sogou Explorer',
            y: 1.64
        }, {
            name: 'Opera',
            y: 1.6
        }, {
            name: 'QQ',
            y: 1.2
        }, {
            name: 'Other',
            y: 2.61
        }]
    }]
});
<button id="btn">Export</button>

<div id="container"></div>

<div id="container2"></div>