Probably not. My male belonged to a heavy smoker (of all sorts) for several years, and he's never seemed the worse for wear from that. I wouldn't, you know, breathe it in his face or anything, but mild exposure from being in the same room shouldn't hurt as long as you're not hotboxing.
I wouldn't take any chances on harming your beardie. You could always put a towel or something over the enclosure for 15 minutes or so to block the smoke a bit.