I don't see why not. Your going to have gloves on. There's a surgeon at my hospital who hands shake until he does surgery and then they don't 🤷🏼♂️
To me that sounds like this ; hey i have Acne, can i become a dermatologist ? Or i had my appendix taken out when i was 15 ,can i become a general surgeon ? Not having dry hands doesn't stop you from putting on gloves and cutting, has nothing to do with anything, if you had too big hands we'd just find you even bigger gloves that fit, work very hard be very good at the Surgical field, patients need what you have(your skill, dedication, discipline and commitment ) , not what you don't. Welcome onboard 😌🌻🌺