I'm not positive on a FIRST provided machine shop but I know many teams will be bringing a lot of tools besides hand tools.
Team 247 has a "machine shop on wheels." Basically a half semi-truck (semi semi?) filled with a lathe, drill press, band saw, just about everything most teams could need. Also check
this thread for other teams that will br bringing stuff.
You will probably recieve a flyer from 217 with a list when at competition. Good Luck.