Yes, but you have a choice under the existing rules. In practicality, there is little difference except the 'replay' option would be a known (good or bad) in lieu of an unknown.
The fact that you already have a ball sitting in the fairway may well affect the choice that you make re the original ball. As far as I am concerned players should not have an option of deciding which ball they wish to play. Given that choice I can imagine the situation that AAA was suggestion where players would be hitting provisionals because they did not like the original shot. So hit a provisional & then go & look to see which is the better option.