He certainly could, but it would probably require another player stepping up to the plate and showing he's good at them. I can only assume if someone was banging them in during training, they'd be given the taker duty.
Ronaldo takes every FK for every team he plays for, despite statistically sucking at them. He even took them off Dybala at Juve, who is genuinely great at them. So an egotistical goal hungry forward taking every opportunity they can to score isn't unheard of.
Right now I dunno who else would be better for us. The other taker always seems to be Dier because he smashed one in for England once. When we lost Eriksen and Trippier, our set piece taking abilities plummeted.