Nope. But (I’ll edit the op to clarify this) the only effect a collaborator has is on which cheat skills are provided, so you could get the same effect as the Eldritch Abomination by choosing MR+AA, and get the same effect as the Chaos Deity by choosing randomly.
Can I choose to get a god partner?
Nope. But (I’ll edit the op to clarify this) the only effect a collaborator has is on which cheat skills are provided, so you could get the same effect as the Eldritch Abomination by choosing MR+AA, and get the same effect as the Chaos Deity by choosing randomly.