JSFiddle - React, Tailwind, and code Playground

HTML

<input id="nopicker" type="date">
<style>
input::-webkit-calendar-picker-indicator {
    display: none;
}
</style>
<script>
document.getElementById("nopicker").addEventListener("keydown", function(e) {
    if (e.keyIdentifier === "Down" && e.altKey)
        e.preventDefault();
    if (e.keyIdentifier === "F4")
        e.preventDefault();
});
</script>