Axis & Allies Developer and Playtester; War of the Ring Editor and Playtester
Yes. From page 25 of the Rulebook:
Tanks can “blitz” by moving through an unoccupied hostile territory as the first part of a two-space move that can end in a friendly or hostile territory. This complete move must occur during the Combat Move phase. By blitzing, the tank establishes control of the first territory before it moves to the next. The second territory can be friendly or hostile, or even the territory the tank came from. A tank that encounters enemy units in the first territory it enters must stop there, even if the unit is an antiaircraft gun or industrial complex.