Q:

He is the person I thought (he) would

He is the person I thought would come to the party.
He is the person I thought he would come to the party.
Is the second sentence correct and does it have the same meaning as the first one?

A:

The second sentence is not correct.
The first does omit a pronoun (entirely properly), but it is not a personal pronoun: it is a relative pronoun.

He is the person who I thought would come to the party. 

