JSFiddle - React, Tailwind, and code Playground

HTML

<div id="picker"></div>

<br/><br/>

<button class="next-day">Next</button>
<button class="prev-day">Previous</button>

JavaScript

var disabledDates = ["2020-03-28","2020-03-27","2020-03-26"]
 $('#picker').datepicker({
    beforeShowDay: function(date){
        var string = jQuery.datepicker.formatDate('yy-mm-dd', date);
        return [ disabledDates.indexOf(string) == -1 ]
    }
});


$('#picker').datepicker();

$('.next-day').on("click", function () {
    var date = $('#picker').datepicker('getDate');
    date.setTime(date.getTime() + (1000*60*60*24))
    $('#picker').datepicker("setDate", date);
});

$('.prev-day').on("click", function () {
    var date = $('#picker').datepicker('getDate');
    date.setTime(date.getTime() - (1000*60*60*24))
    $('#picker').datepicker("setDate", date);
});