Don't think they're directly comparable. Plus you need to define what you mean by skill.
Chess is a symmetrical game in which someone can take as long as he/she wants for a move, over time and experience can memorize different offenses/strategies, and recall different patterns of piece positions, while having vision of the other team's plans the entire time.
Starcraft, time is very important, APM (while a flawed metric, still important to have a baseline APM to perform different moves, something that will deterorate over time, meaning you cant have a professional for decades, which you can with chess grand masters), fog of war inhibits your ability to counter the opponent's moves, and different races makes it less symmetrical.
Speed chess would change this a little.
I would say you would need a greater genetic predisposition to play starcraft versus chess (the ability to make fast decisions, chess does not need this). Physically, both "mastered" require different physical traits, with starcraft's more demanding, but not to the point that it makes a difference when "mastered". Tactically, chess can be more of a recall sport, where a player is famililar with a situation they have previously been in, or seen. This is also possible with Starcraft, but because the board both has fog of war, different sized maps, and different spawning locations, it's hard to judge these two different "sports".
I'd say it's inconclusive, but Starcraft could have a slight edge.
Edit: I totally forgot about balance issues, which greatly affects starcraft. Strategies can be much more limited in cases of balance and the matchup, meaning starcraft could be more flawed, and allow a weaker player beat a stronger player more often than probability should predeict; something chess avoids. One could argue balance issues makes starcraft more difficult to master, due to constant mini changes and overcoming harder odds. I think it just makes it harder to compare to chess.
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