Is Pip Bernadotte dead in Hellsing?
He's just as dead at the one Alucard killed/consumed.
Physically dead, but he kinda lives on inside Seras' blood/soul.

If you'll remember, Alucard summons a lot of people he had killed and uses their powers in the last episode, it's the same here with pip. He'll be completely dead when Seras kills him from with her, like Alucard did with all his captured souls/familiar in the last bit.