Nope.
Skillwise Jon already failed several tests Fedor easily passed
-Jones has lost several rounds (Fedor arguably didn't lose one 10 years)
-Jones has taken more damage than Fedor did in 10 years (until the Bigfoot fight)
-Jones has had close and controversial wins during his reign (Fedor never left any doubts)
Also Fedor also had a much larger streak, and defeated better competition . Big Nog alone > any fighter in Jones' resume (do not argue with this, it's a fact).
Nog had a 13 win streak and 4 top wins the first time he fought Fedor. That puts him above any of the fighters Jones has ever faced (all whom had shorter streak with less top wins or even recent losses). In the rematch Nog had a 5 win streak with 3 top wins. Again that > all of Jones' opponents. Both Fedor's wins over Nog were better than any of Jones' wins.
Arlovski was in a 5 win streak with 2 top wins, which is better than Shogun, Bader, Rampage, Machida, Vitor, Sonnen, Gus (who had a slighly larger streak but less top wins). Only Rashad edges him with a top win, but Nogueira was in a better streak with more top wins than Rashad, both times he fought Fedor.
Crocop had a 7 win streak with 1-2 top wins. That's better than Machida, Shogun, Rampage, arguably Gus and arguably Glover.
Quantity & quality is the key, and Fedor's best wins > Jones' best wins when it comes to that.
Jones is great, but he still has a long way to reach Fedor's status. Cheers.