Would the goblin feat flame heart and the kinetist simple blast for fire be compatable ie the blast is one level higher ?
Is there any other fire boosters for goblins that would assist a pyromancer ?
Feat Flame Heart -> RAW no, it specifies spells and alchemist's bombs. Your DM might allow it in home games.
Unless it is in the "Occult" books, I doubt there is any way to boost fire effects for a pyrokinetic. They seemed to go out of their way to nail down as much as possible for the class.
You would still get fire resistance 5. It wouldn't stack with utility talent that does the same thing though.