My goal: I'd like to somehow make a nerf dart light up for easy retrieval at night (and to look cool, lets be honest). Putting a cell battery, a switch and an LED in them is a lot of weight and a lot of batteries to buy and switch out. Is it possible to use something like a capacitor to store a very short term charge, and power an LED for something like 1 minute? I'm not looking for long term power... give the dart a charge, and the LED runs for about a minute. Just long enough to go hunt them down.
And yes I know there are lots of other options - glow in the dark darts, UV lights, etc. Looking specifically to make them glow with an LED if possible.