Yes and no.
Style and inspiration wise... Clive Barker, especially his Books of Blood, is the main inspiration.
Then comes good old uncle Lovecraft, especially as analysed in the Stealing Cthulhu essay by Graham Walmsley.
KULT takes inspiration from these same sources, among others, so yeah... you will definitely get a KULT vibe from Touched By Evil.
But mechanically it has nothing to do with neither the classic nor the new PbtA-ish editions of KULT.
It's much less an adventure that you can figure out set in a creepy world you can explore (as it often happens with KULT and Call of Cthulhu scenarios) and instead it's much more a disquieting trip that disturbs you through increasing dread and alienation while the protagonist spirals towards an horrific end.
Also it's gmLess and meant to play out in 2-3 sessions total :P
It actually take some elements from Montsegour 1244, if you can believe it :)