The simple answer is "yes".
The more complex answer is: before a move, yer dude should be at the center of a square on the grid. You can initiate the move by whatever yer input is, but once you have started the move, the move is not finished until yer dude is at the center of another square on the grid.
In between, you can do whatever to animate it smoothely.
If you don't, they'll disqualify you. This is one of the more pedantic rules of the jam. There is really no wiggle room.