Can prokaryotes move on their own?

prokaryotes move with flagella that allow it to move towards food or away from danger. some bacteria however do not have flagella thus they move in different ways the myxobacteria for example, form a layer of slime; through wavelike contractions of the outer membrane they move the organisms through the slime. and spiral shaped bacteria move by a corkscrew like rotation. filaments inside the organisms cell walls contract and cause the bacterium to turn and move ahead.