I believe you can. If I understand what you're saying, you have a flight the next morning.
As long as you have a boarding pass for the next flight, TSA should let you through and it won't invalidate the boarding pass.
I was staying at a hotel adjacent the Cincinnati airport last year and their restaurant was serving limited cold-only choices.
I walked over to the airport for dinner, knowing there would be several places open. I asked the TSA agent if I could enter on my boarding pass then for the following morning flight and not invalidate it. He had to check with a supervisor who confirmed that I could indeed use it to come through. And I did, and it worked fine again the following morning.