Is it possible to make a 2D character facing all directions depends the character's walking path

Is it possible to make a 2D character facing all direction ?
So every time the character walk or idle, the character is facing to the direction of the character’s walking path (not 4 direction, not 8 direction, but all direction)

all direction = infinite direction?

you can make the character face as many direction as you can draw

you can face all direction if you draw all direction