Nope. Tanks can move up to 2 spaces, either in combat move phase OR in noncombat phase; not both. If they are moving in combat move phase and they encounter any unit in the first territory they have to stop right there. As of the noncombat move phase of the turn, they have already made a move for that turn so they can;t move a second time.
As for mechs, they can’t blitz but if they are paried up with a tank they can move together but the tank/mech combo must start and end in the same territory