Yes, "Unlimited Mana Works" As I have written.
The first volume especially focuses on this as the Male MC is an heir of a very lower-tiered Noble Family (but is still a branch of the strongest house). The story itself is not ALL about nobles, but is surrounded by it.
It's written in the same fashion as mushokou Tensei, since the protag starts off as a kid (age progression) you won't see much rising in the social hierarchy in the beginning (but it will have heavy elements of it later on), but you can hope for much as the story goes.
He will beat down nobles, royalty and raise his own social status. All in due time, although not early.