User blog comment:Berserkchart486/Chakra Levels!/@comment-25152698-20151006111929/@comment-4080775-20151006131039

http://naruto.wikia.com/wiki/Chakra "At any given time, a ninja will have a "maximum" amount of chakra that they can form and use before it runs out and they need to rest to replenish it. With practice this maximum can be increased, but to a certain extent they are limited to the quantity and strength of chakra that their genetics grants them;

Kakashi Hatake has above average chakra reserves, but no amount of training can grant him the same amount of chakra as Naruto Uzumaki was born with."

Transmigration has nothing to do with chakra levels, its all in the genetics which stem from the clans people hail from.