Charging supercapacitor parallel with different sources
Sort of.

By definition, the terminal voltage of the capacitor is zero when you start charging it and rises asymptotically. So if you simply connect three voltage sources to it through diodes, it will potentially draw power from all three according to their source impedances.

However, as it gets close to 4.0V it can no longer charge from that source, and the final rise to 4.1V will be powered entirely from the 4.1V source.