Not by any metric you'd care about. (And almost certainly not by any metric at all.)
Your comment contains 49 words. 4 come from Norse, 2 come from Latin (without passing through French), and 3 come from French. The remaining 40 come from Old English.
That's the count by token. By lemma, I counted 9 duplicate words, of which two are Norse and 7 are English. That brings French all the way up to 7.5%!
A very non-exhaustive overview of this is at https://en.wikipedia.org/wiki/List_of_English_words_of_Frenc...
I managed to find this, which is something that interests me:
https://en.wikipedia.org/wiki/List_of_gairaigo_and_wasei-eig...
(Japanese words taken mostly from English)
The only citation on that page is a dead link to a Canadian university's "about our French program" page, which, while it does claim that 45% of all English words "come from French words" (again, on the basis of nothing), nevertheless manages to contradict the Wikipedia page that cites it by estimating the number at 50,000 rather than Wikipedia's reported 80,000.