No. On a monday, the closest friday is in the past.
Connecting "next" with a German translation of "nähest" ("closest") is just as nonsensical.
So if on Saturday you said "our dinner reservations are next Friday, not this Friday", that could mean
— "we didn't forgot to go yesterday, we have dinner in 6 days time" (where 'this Friday' is 'Friday of this week') or could mean
— "we're not going to dinner in 6 days time, we're going to dinner in 13 days time" (where 'this Friday' is 'the Friday in this rolling block of 7 days' and 'next Friday' is the one after that).
Sounds very contrived, but people do use it in both ways and neither really has a dominance unfortunately.