Board Thread:Boruto Discussions/@comment-1018594-20161222205643/@comment-3965545-20161229010035

Nope, Naruto got SPSM from Hagoromo.. or more directly.. it was awakened when Hagoromo gifted Naruto half of his own Chakra. Six Paths Sage Mode is the mode Naruto was in when he kicked the TSB away from Gai(no cloak), he simply used Sage Kurama Mode along with it to gain the Chakra Cloak.