This can be boiled down to two different questions. 1. Can Wolverine's claws pierce through Thor? 2. Is piercing Thor's body enough to kill him? Yes, adamantium can pierce Thor's skin as can be seen here. read more
In short, yes, Wolverine can kill Thor if Thor lies there and does nothing. Wolverine can cut Thor’s head off but it will take a number of direct strikes to do so. If Thor is fighting back then not a chance. It only takes a few hits from Thor to knock out Wolverine whereas it will take a couple dozen hits from Wolverine to take out Thor. read more
Logan skeleton survived a nuke. Logan skeleton survived the sun. His claws>>>>>thors durability. read more