no. the mk6 gti is 207ps and only tunes to around 280-290hp. there is no k04 varient as of yet.
the Golf R has the engine from the mk5 ed30(not std GTI). its more accurate really to say itas the S3 engine though as it comes with the S3 uprated intercooler as standard. these engines are tunable to 350-360Hp, so whilst the TSI is the newer its not quite better yet.
Although i hear the TSI takes to a K04 turbo very very well