Honestly, it is too early to tell because there are too many variables. Is it possible, or even likely that he is moved at the draft? Sure, of course. But that depends on so many factors. Tkachuk's extension and acquiring a starting goaltender are certainly two of those factors. Sam Bennett breaking out is also a significant factor, because if Bennett does break out, not only will Frolik's contract be a barrier, but Bennett could "replace" him on the ice. A breakout by Jankowski would also allow a Frolik move to be easier.
To a lesser extent, the same goes for Spencer Foo, Mangiapane and Klimchuk. It also depends on Frolik himself and of course, how Frolik himself does this season will play a significant factor. The final factor will be the salary cap and how much it rises.