The Swift language doesn't have constructs to support concurrency yet. Rumor has it that those are going to be added to a future version of the language, but in the meantime, I don't think you can do this without OS support.
GCD makes for fairly clean concurrent solutions in Swift, since GCD blocks are Swift closures. It's not platform-indpendent, however. (At least not outside the Apple ecosystem.)
Edit:
I guess you could write a concurrency library that would run on all POSIX-compliant OS's by using POSIX, but Windows isn't really POSIX-compliant, so that might not be a perfect solution either.
Edit #2:
In Swift 3 the GCD interface has been cleaned up and made much more "Swifty". Now there is a Dispatch class, that has class methods to do the things that used to use global functions.