I'm no medical expert (of any sort), but my gut feeling says yes. Why? You are trying to learn your immune system to fight of something. This is usually learned by adding a dead(ish) infection.

Possible problems are: A) Not being tuned to humans. B) The method of immunising doesn't work for humans. C) The lymes aren't dead enough for humans and you get lymes deases.

Ow: and ask a fair, honest, open-minded and well educated doctor who will do the research on it.