Is it possible to keep a small inflatable pool clean without using a pump filter system Is there a system that can sit inside the pool kind of like a pump filter inside an aquarium?

NO POWER CORDS IN THEW POOL ! I KNOW ITS HARD TO KEEP THESE CLEAN SO THE BEST WAY IS TO FIND A INGROUND PUMP AND FILTER SAY A 1 HP STA RITE DURA GLAS AND A 50 SQ FOOT CARTRIDGE TYPE FILTER. WHEN THE POOL GOES BAD YOU WILL BE ABLE TO RESELL THE PUMP AND FILTER AND GET YOUR MONEY BACK..