This snippet provides a polyfill for MapKit JS for zooming using mousewheel on Chrome, Firefox & IE.

mapkit-mousewheel-polyfill.js

/*

This snippet provides a polyfill for zooming using mousewheel on Chrome, Firefox & IE.

It adds the method 'enableCompatibilityZoom' on the mapkit.Map prototype.

usage:

map.enableCompatibilityZoom(smooth, delta)
  smooth: wether or not to use animated zooming
  delta: the amount of zoom per mousewheel step. Default is 100 (as in Chrome)

*/


(function(mk){

	var hasNativeCustomEvent = typeof window.CustomEvent === 'function'

	function createSyntheticWheelEvent(){
		if(hasNativeCustomEvent)
			return new CustomEvent('wheel')
		else{
			var ev = document.createEvent( 'CustomEvent' )
			ev.initCustomEvent('wheel', false, false, null)
			return ev
		}
	}

	function ht(){
		return performance && performance.now ? performance.now() : Date.now()
	}

	function onMouseWheel(e){
		if(e.synthetic || e.shiftKey || e.ctrlKey)
			return

		this.deltaY += -Math.max(-1,Math.min(1,e.deltaY))*this.factor
		this.originEvent = e

		if(this.smooth){
			if(!this.animating){
				this.last_frame = ht()
				this.animate()
			}
		}else{
			this.dispatch()
			this.deltaY = 0
		}
	}

	function animate(){
		this.animating = true
		this.dispatch()

		var now = ht()
		var delta = now-this.last_frame

		this.deltaY *= Math.pow(0.98,delta)
		this.last_frame = now

		if(Math.abs(this.deltaY)>1)
			requestAnimationFrame(this.animate)
		else
			this.animating = false
	}

	function dispatch(){
		var ev = createSyntheticWheelEvent()
		
		for(var key in this.originEvent){
			ev[key] = this.originEvent[key]
		}

		ev.synthetic = true
		ev.shiftKey = true
		ev.deltaY = this.deltaY

		this.element.querySelector('.mk-map-node-element').dispatchEvent(ev)
	}

	mk.Map.prototype.enableCompatibilityZoom = function(smooth,delta){
		if(navigator.platform.indexOf('Mac')!==-1)
			return

		delta = delta || 100
		smooth = smooth || smooth===undefined

		var instance = {
			factor: delta,
			smooth: smooth,
			deltaY: 0, 
			last_frame: 0, 
			element: this.element
		}

		this.element.addEventListener('wheel',onMouseWheel.bind(instance))
		instance.animate = animate.bind(instance)
		instance.dispatch = dispatch.bind(instance)
	}

})(mapkit);

Now it is 2023, with latest mapkit Version 5.75.47, you can
map._allowWheelToZoom = true;