I'd recommend against it.
First of all: yes, you're nervous. Interviews are stressful for everybody. I've been working for nearly two decades, for a number of different companies, in several different cities in two different countries. I've been to a lot of interviews. Most of them have gone quite well, I think. But even just writing this answer reminds me of the nervousness I've always felt going into an interview.
Having said that, because interviews make everyone nervous, interviewers expect you to be nervous. They're not going to instantly think "goddamn, this guy is obviously useless, if he knew his stuff he wouldn't be nervous!" Doesn't happen. Well, OK, I'll concede a few cases, but not in Computer Science related fields. If you're interviewing for a sales role you'd probably need to come across as completely confident.
So you really don't want to risk swapping a problem that is normal and expected (nervousness) for one which is not normal, not expected and will totally tank your chances of scoring the job. Such as, as Jeremy1026 pointed out in his comment, the interviewer smelling alcohol on your breath. Or you saying something stupid. Or forgetting something you should know, or losing your train of thought.
Best cure for nervousness in interviews? Practice. Even if the first one is terrifying, in time, you see the patterns and it starts to feel a lot more normal. If you do a bunch in quick succession while jobhunting, you will get jaded to the feelings of nervousness.