Do it! As long as you're not calling/emailing every half hour I think it's hard to be pushy. Definitely reach out to the program coordinator, the people you interviewed with, and any POIs to reaffirm your interest in (and sincere enthusiasm) for the program. One of the scientists at the company I currently work for got into grad school this way - I know that's just anecdotal, but there's no harm in trying. And sending the updated transcript is a good idea too.