Karri Barlow
Yes, for some people that works.
I was a creamery head manager/ head cheesemaker for almost 10 years and we had Brown Swiss cows. Their milk is chemically more like goats milk, so we had a lot of customers that were "lactose intolerant" that could handle Brown Swiss with no complications. We also had an option for "one cow" milk, because milk is different from one animal to another, and while a person may be "intolerant" to a mixture of the entire herd, if they have one animal that makes the milk for all the products they use they use they are usually very happy with it. At least we didn't have any complaints. Also, if they cannot, cannot handle milk, they may be able to handle cream. Cream is chemically different than milk, that's why it separates naturally. High cream content cheeses and cultures are usually handled very well by the "lactose intolerant".
But if you are allergic, and it is an actual allergy, PLEASE DON'T PLAY with it! It is far, far better to just LEAVE IT OUT than die. There is a difference between "intolerant" and allergic. If you are intolerant you can play with it and see how far you can handle, like "I can handle well-aged cheese", or "I don't get a belly-ache from cream".
If you are allergic a drop or a crumb is Death! There is no "wiggle room".