Fire, You could but it won't stick to the surface of the aluminum very well and will chip off very easily since the aluminum is anodized. You really should prep it right first. The best way to prep raw aluminum is to scrub it with scotchbrite webbing and water, I'm sure it's an anodized surface so you'll need to sand it a little to penetrate the treated layer. You can easily do this with 300 grit wet/dry paper.

Start at the bottom of your panel or surface to be painted and scrub moving upwards as you go for the best results and finish you'll want to create a water break free surface what that means is the water will "sheet" on the metal like on it does on glass. Once you've scrubbed it enough to do this then you know it's clean. There may be some self etching primers out in aerosol form now that weren't around when I was painting aircraft years ago so doing a chemical etch may not be needed, check with a local automotive paint retailer for what is available. If you do spray bomb it (spraycan) be sure to shake the damn thing very well before spraying, if it spits or clogs turn the can upside down and spray (away from the surface your painting) to clear the nozzle, wipe off the drips and try again.

Personally I would just take the thing to a powder coating outfit and do that since that it the simplest, most durable finish available. Powder coating is actually a plasticine medium that is sprayed on while using current (like electroplating) then baked in an oven so it becomes one solid surface that is hard to damage and won't scratch easily. Only downside is it can be expensive in some cases depending on the shop that does it.