I had a similar issue on my shapeoko for two different reasons. You will want to look at both.
First time it wouldn’t run, I didn’t have enough current running to the stepper motors. Locate the potentiometer on the Y axis on your GRBL controller and turn it up by a small amount. Try moving the axis again. If it didn’t help, turn it up again and try again.
The second time I had this issue was caused because I had dialed in too much current and it was overheating. When the drivers over heat, they shut down but the motors still sound like they are trying to move. If the dial is much more than 50%, there’s a good chance you are overheating.
All the way counterclockwise is low, and clockwise is high. There are more detailed instructions on how to set this, but hopefully I’ve given you enough to at least get going.