I've read everywhere that to set Https to access a kubernetes cluster you need to have an Ingress and not simply a LoadBalancer service which also exposes the cluster outside.

My question is pretty theoretical: if an Ingress (and it is) is composed of a LoadBalancer service, a Controller (a deployment/pod of an nginx image for example) and a set of Rules (in order to correctly proxy the incoming requests inside the cluster), why can't we set Https in front of a LoadBalancer instead of an Ingress?

As title of exercise I've built the three components separately by myself (a LoadBalancer, a Controller/API Gateway with some Rules): these three together already get the incoming requests and proxy them inside the cluster according to specific rules so, I can say, I have built an Ingress by myself. Can't I add https to this structure and do I need to set a redundant part (a k8s Ingress) in front of the cluster?