I don't see why not. I don't recall any rule against it and there are deities with those paths; while it's possible albeit difficult and even more dangerous for Titanic Scions to ascend to godhood, at no point in the discussion does "and this is the way Gods with Titanic Callings enter the picture.

I want to say Titanomachy is even explicit in its permissions for a Divine PC to have these callings but I'm at work right now. It might create a strained relationship with your parent but it's not like that's unrelated territory to most myth bases or the human experience....