PHP not parsed in HTML

Hmmmm....here's another humdinger of a question: I am with a hosting company that doesn't want to parse PHP in HTML files because they are afraid it will slow down their server(s) too much. So. I really like them and don't want to move the site if I don't really *have* to. There are some neat things I would love to be doing in the HTML on it, though. I was thinking; could I make some sort of little javacript calling on, or including the PHP file I want to run on the HTML page? Thanks, -Mike