JSFiddle - React, Tailwind, and code Playground

HTML

<input  type="date" name="DateName" id="fm_deliverydate" />
<input  type="time" name="TimeName" id="fm_deliverytime" />

<script>
var date = new Date();
var dd = date.getDate();
var mm = date.getMonth()+1;
var yyyy = date.getFullYear();
var hrs = date.getHours();

if(dd<10) {
    dd='0'+dd
} 

if(mm<10) {
    mm='0'+mm
}

date = yyyy+'-'+mm+'-'+dd;

(function(){
    document.getElementById("fm_deliverydate").onchange =  function() {
       dateEntered();
    }
})();

function dateEntered(){
    var userDateEntry = document.getElementById("fm_deliverydate").value;

    if (hrs >= 10 && userDateEntry <= date) {
        alert("Shipping for today has ended. Your order will arrive tomorrow");
        document.getElementById('fm_deliverytime').disabled= true;
    }
    else{
        document.getElementById('fm_deliverytime').disabled= false;
    }
}
</script>