Can i sue the city if i had fallen in a pothole in the sidewalk that had no lid?

Short answer:  Yes.  In some States they have the 2 inch rule.  That is, if there is crack in the sidewalk greater than 2 inches and you fall due to the crack, you have a cause of action.  However, this is pothole.  Which is much bigger than a 2 inch crack.   This will require a good deal of investigation.  For example, was the city aware of the uncovered pothole, and for how long?  Did someone else remove the cover.  How long was the pothole open?  Then, what were your injuries?  Did you recover?  Good luck.