Possibility of a led with a coil and a Supercapacitor as implant?

I don’t know much about electronics, but I thought it would be fun if I could implant a led, load it with NFC and it glows for a while.
I know D.T. has a led implant but it just glows when it’s near an energy source, so I thought if it would be possible to integrate a supercapacitor it could glow for a while?
Is it possible?

Thx for your help

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