At my institution there's an on-site cancer research center. I applied to a lab through the center's careers page for the position Research Associate 1. Basically they took my resume, cover letter, personal info and there's a message in an automated system saying I'm currently being considered. I do meet the requirements for the position, but as for the hiring process they don't provide a way of contacting a hiring manager, HR, etc. (I've looked deep, there's nothing except a "we'll get back to you if we're interested").
I have the email for the PI of the lab, but I'm unsure if it's acceptable to contact him about the position. What would be acceptable to say?