Yes, but your chances increase with a no stride all hands approach. I'm recommending this with two strikes and a RISP. Smoak is a big guy, so a HR is not off the table by any means, especially at Yankee Stadium.
Miggy uses that approach pretty much all the time because he's still strong enough to hit 35+ HR a year regardless, they're just not tape measure shots. I'm not comparing Smoak to Miggy, but that approach (especially with two strikes) would help any hitter. The problem is players like Smoak get paid well enough to hit 20-25 HR's to go along with a .220 / .290 type slash line. It's pretty much an ALL ME type of approach, but that's jmo.