Not necessarily. Skates have "teeth" which are used to keep balance and prevent inertial/reactive sliding. The outer layer of the balls could also be adjusted for better grip on ice. (For that matter, if the soles of regular tennis shoes are made of some special composite material which has good grip, you don't even need skates.) Therefore it IS possible, but obviously you can't just move the whole Wimbledon to Alaska and pretend everything's still the same.off topic: Hahahahahahahahahahhahahaa.
Playing tennis on ice, is impossible my friend. I mean I know if you are good skater you can stop quickly and also using short distance, but imagine just serving on ice... You would either fall every time, or you wouldn't even rich the net, or the serve would be so soft that opponent would wait for the ball on the net.
Didn't Edberg grow up on wooden courts?
Hence why he served and volleyed, I read this on tennis.com's 60 greatest players list.