if we're taking overheaven novel as canon, yea he's just born evil
if not then...idk, I feel like having an abusive father and being raised in a shitty environment shoudnt really lead into you wanting to become a multiversal threat. Kinda just feels like DIO is the way he is because he kinda just is. His father's blood flows within him, he acts like him, he was born to be like him.
Ig it's possible to assume he was influenced to act like this but eh...he was raised in the Joestar household for much much much longer and still hasnt changed whatsoever(he's still a child so it woudnt have to have been all that much of an issue to influence him in the right direction)