Lambda does as well. You can even use their runtime interface client to run your function within the same wrapped that Lambda uses irl
If you're not married to running your own Web server, you can use API gateway with your Lambda functions, which is the traditional approach. Your frontend and it's assets can be served from an S3 bucket with Lambdas powering your backend. Cold start times will be a concern with this approach, but there are "warm-up" strategies you can employ to prevent that.