I'm not going to respond to a coworker
Is there a reason you don't want to respond to them?
Yes, he is constantly interrupting me during meetings.
I think you should make sure he's not trying to get ahold of you over something important.  If he's got a work-related problem, you should respond to him.  That's part of your job!
I think it's a lot of work to respond to e-mails.
I get that you don't want to talk to this person, but you should at least hear your coworker out and see what he wants. It might be important.