I don't think so... I think we're looking at Cook or Hackenberg at 34. Both of those guys will go pretty quickly in the second round. Get ready to not see a defensive pick until 67. Maybe if they can find a trade partner, they can move Leary and their 4th, and jump back in to the late 2nd and grab a DL and use 67 on a DB.
I don't think they will take Cook or Hackenberg at 34. The biggest reason being that the Cowboys were rumored to have liked a QB by trading into Rd 1 so that they would then have that 5th year option year that comes with first round players. You don't have that in contracts with 2nd round players.
IMO, and I could be wrong, if they wanted Cook or Hackenberg at 34, they probably would have tried to trade into one of those last few picks and taken one there, thus giving them that 5th year option.
The 5th year option fits in nicely with what they seem to project Romo can still play - 3-4 years.