The ziplocks, yes. With the PumpNSeal, you put a tiny hole in the top of the jar lid, with a resealable tab on it. I have never used one, but the web site makes it look like you can use them over and over. And it's under $40, some places $14.95. It's a hand pump.
You can reuse FoodSaver bags as well.
You can reuse FoodSaver bags as well.