I dropped that green birdbath pump and can't pick it back up and they won't pick it up. Is there anything that I can do?

Yes... Read the message at the bottom when you put someone on it. It will give you a clue as to what the problem is.

No I mean I bought something from the store thinking that was it but I dropped it in the game by accident and I wanted to get it out but it doesn't look like i can.

So you are saying you bought the pump and dropped it in the game and now you cannot get rid of it. Unfortunately, it is there. You cannot take it back once it is on the ground. only when it is in the tools on the side. The only thing you can do is finish that puzzle. You'll get a trophy when you do.

Okay. Thank you. Now only thing I have to do is figure out how to finish the puzzle. For some reason I didnt get my guide.

Well, if you drop someone on the bath/pump, it will give you a message at the bottom as to why it cannot be completed.
It's pretty easy once you figure it out.