>>283204285
No, it's actually stated that comes from the way his dad designed the seal; he designed it so that some of the Nine-Tailed Fox's chakra would leak out and merge with Naruto's, becoming his own. So Naruto's been getting extra chakra from the fox his entire life.

It's got nothing to do with being an Uzumaki, he didn't inherit any of the traits they were known for.