Are you more likely to be allergic to spider bites if you are allergic to bee stings?

I am planing on getting a tarantula, but my boyfriend is allergic to bee stings. I wasn't sure if the two had anything to do with each other, but I figure better safe than sorry, right? I did a little research and ONE person said that you are more likely to be allergic to spider bites if you are to bee stings, but I can't confirm it anywhere else. Does anyone know?