There can be lots of cadences in a piece, but only one coda. A coda may contain cadences, or it may contain none.
A cadence is a harmonic structure
the end of a phrase in which the melody or harmony creates a sense of
A coda is an ending part of a whole piece, and it can contain anything rhythmically, melodically and harmonically. Or even complete silence. In pop music it's an "outro".
The Wikipedia page says "Technically, it is an expanded cadence" ... Who writes this stuff. "Technically?" Maybe in old classical pieces, codas usually did something specific regarding harmony.
In music notation, a coda 𝄌 is where you jump to finish off a song. "D.C. al Coda" means, repeat from the beginning, and when you reach the small coda sign, jump to the big coda sign. https://en.wikipedia.org/wiki/Coda_(music)#In_music_notation
"See you at the Coda" is a musicians' saying. Saying "see you at the cadence" would be nonsensical, because there can be cadences all over.
There may be something in the coda section that you could call a cadence, or maybe not.
Codas are like what you get, when you press the Ending button on an arranger keyboard:
That particular coda i.e. ending seems to have lots of cadences programmed into it, but it wouldn't have to have any. It's just a break from the flow of the song, and it probably makes you get the idea that the song is going to end now. It's the opposite of an intro: an intro gets the song started and a coda gets it finished. One could say that a cadence, on the other hand, finishes off a harmonic phrase. But there are other dimensions to musical phrasing besides harmony, of course.