It's one of the biggest unknowns since we still know so little about Ackerman origins and how "Eldian" they are.
BUT we now have a lot more evidence that they can likely become titans. Mikasa is likely less "pure Eldian"(due to her mother's ancestry) than Levi is and even she experienced Eren's announcement like the rest of them. Means that the Ackermans are truly subjects of Ymir and can likely titanize as well.
Also, I'm starting to feel like Hange will have Levi eat Pieck if she gets a chance. She's acting coy now but she has a badass/cruel streak when she needs it.
Cart would also fit Levi really well since he would be stronger in human form no matter what he inherits.