Not according to the New York Daily News….

The Jets made a play for Shanahan, who was unexpectedly fired on Tuesday by the Broncos, but he rebuffed their overtures…..

….

A potential Jets-Shanahan marriage never seemed likely. The Jets performed their “due diligence,” according to a person familiar with the search, but it never advanced to the serious stage. Shanahan probably will seek a job where he can have final say on personnel, a power he held in Denver, and that doesn’t fit in with Johnson’s organizational philosophy. That, too, may have been an issue for Cowher.  (Source)