His circumstances don’t really allow it.
Pink was bullied constantly by her sisters, and lacking a Court she had no contact beyond her literal court of a handmaiden and a jester plus some very simple tiny servants. She lashed out because she had no fear from White, the one being that every single other living thing in existence had to fear. White could only force Yellow and Blue to hurt her, and since she lacked a court they couldn’t even use someone else being White’d to threaten her.
Steven has a handful of bullies that pose no threat to him beyond being an irritation and harming his friends, and they’ve learned how badly that would end for them. Otherwise the entire universe loves him, he has a strong support network who he can be vulnerable with, he’s willing to learn and takes lessons to heart, and he’s in a romantic relationship which was kind of the key to Pink learning to be better.
The only way I could see Steven becoming her is if some external threat like another Corrupting Light or an alien invasion wiped out or Corrupted Little Homeworld and the Crystal Gems, White reverted to her old ways or became evil in a different way and bullied Yellow and Blue to follow suite, and he started mistrusting and lying to Connie. Not to mention Beach City being destroyed.