Yes, it's called Superpower. It's actually probably Regircok's best contest move. Considering it has 6 appeal points and no Jam points.
Superpower makes combos with Lock-On and MindReader. Unfortunately, Regirock can only learn Lock-On (@ Lv.57) (Also, keep in mind that Lock-On isn't a Tough move, it's a Smart move). Also, be careful using Lock-On because it calms the crowds excitement. That's one combo. But you still have 3 turns and 2 attacks left.
Here are some other Regirock Contest Combos:
Rock Throw (Tough, Lv.9) + Rock Tomb (Smart, TM 39)
Careful, again with the Smart move. Neither one has Jam points, but they both have low appeal points.
Rock Throw can also combo with Rock Slide, but that's only through the FR/LG move tutor.
Lock-On (Smart, Lv.57) + Zap Cannon (Cool, Lv.49)
Probably not the best combo because Regirock is mostly Smart/Tough. And Zap Cannon being a cool move would probably un-balance things. Zap Cannon's just an appealing move, so this is a fairly safe comination.
Lock-On (Smart, Lv. 57) + Thunder (Cool, TM 25)
Another Smart/Cool combo. So, I guess you could either make your Regirock Smart/Tough or Tough/Cool. Unfortunately, Thunder can have 2 Jam points.
That's pretty much all you'll get from egirock. At least, from my looking over Contest charts at Midnight. I hope it helped. So, if I were you, I'd go with this:
Smart/Tough
Lock-On (Smart)
Superpower (Tough)
Rock Throw (Tough)
Rock Tomb (Smart)
And probably with a Yelow or Green Scarf on. Maybe even in this order:
Lock-On, Superpower, Rock Throw, Rock Tomb, Superpower
That's probably wrong because I'm not good at contests. Someone's going to majorly correct me, I know it >_<