As correctly asked by some of you, here's the film scene where the expression came out, just to give you some hints to help me.
There are two lads in the parcel delivery centre, early in the morning, loading their vans. They're "self-employed" franchisee drivers, working for a delivery firm (that's a movie about gig economy), one of the guy at his first day at that, the other providing guidance and tips. The seasoned asks his pal whether he has any more questions but suddendly another driver next to them comes in saying ironically
"I've got a question: when are you gonna get these f****g parcels out?" pointing to the newbie's boxes.
The experienced replies "Less your cheek,right. You were a donkey for the first month" and then to the newbie "Ignore him, he couldn't kick shite along a gutter. He's a sub-contractor driver, he gets 70 pounds per day".
70 pounds is a way lower wage compared to the average provided to non sub-contractor drivers. To me the ironic question of the disturber was actually revealing frustration, hence that's why I thought "he couldn't kick shite along a gutter" was a way to express that the disturber is fed up with his situation despite he can't do anything but carry on.
But yeah, maybe the real meaning could be that the disturber is a sort of an idiot, not very good and quick at his own job, so he has to settle for worse work conditions and a lower wage.