5v motor activated by IR remote control (HELP for scientific project on bird's conservation)

It depends on the current, runtime, and a lot of other factors.

There a many 11.8V LiPo modules in many capacity and peak current variants.
Maybe you could use a solar panel to recharge or at least prolong the time between services.

Apart from "pump on a pole, outside with remote control",
we don't know much about your application.

From the parameters of that cell, I think it can not be used in the receiver to run a pump.
a23parms

And, if your device is to be mounted on a pole, why don't you just run cables to it?
That way you could place a big battery (maybe from an old car) on the ground.