Pump with pressure switch for temporary irrigation

Total new to all this and i am just trying to set up a temporary system so that I can water during heavy drought or when I overseed but do not want to put in a permanent system. I have a 1hp Drummond pump with pressure switch and pulling water out of the lake. Pump works fine until I hook it up to an impact sprinkler and then the pump seems to cycle consistent with the impact cycle on the sprinkler head (on and off every second). Is there a fix for that other than installing a pressure tank? Not sure I understand why the impact sprinkler causes the pump to go on and off.