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I already did some testing. I have a 220mW solar panel that charges a 3V supercap (takes a long time) which eventually powers my wifi module that needs ~1.5W (1.5 J/s) for 1 second then ~90mW (0.09 J/s). I have a boost converter after the supercap to keep steady voltage for at least 30 seconds until module dies out, which is okay for now.

My main question is, is it possible instead of using the MPPT to charge a battery, can I use it to charge my supercap? I want to maximize the charging time. Right now with my solar panel, the efficeny is terrible. I can get 2.85V, but the current is around 0.03 amps. Which charges my capacitor super slow.