No,Cena already feuded with Triple H.
Cena lost the WWE Championship at the first WWE pay-per-view of 2006, New Year's Revolution, but not in the Elimination Chamber match that he had been advertised to participate in beforehand. Instead, immediately after winning the Elimination Chamber, he was thrust into a match against Edge, who cashed in his Money in the Bank contract — a "guaranteed title match at the WWE Champion of the owners choosing" — and after two quick spears pinned Cena for the title. Cena's championship reign ended at 280 days, matching the length of previous champion JBL. Just three weeks later, Cena won the title back at the Royal Rumble pay-per-view. After winning the Championship back, Cena was put in to a program with Triple H, during which the crowd again seemed to boo the intended face (Cena) and cheer the intended heel (Triple H). The negative reaction only intensified when he faced Rob Van Dam (also cashing in a Money in the Bank contract, which he won at WrestleMania 22) at One Night Stand in June. Taking place in front of a crowd of mostly "old school" Extreme Championship Wrestling fans at the Hammerstein Ballroom, Cena was met with raucous jeering and chants of "**** you, Cena", "You can't wrestle", and "Same old ****". When he began peppering different moves into the match the fans responded with a chant of "You still suck". Cena lost the WWE Championship for the second time in 2006 at One Night Stand, being pinned by Van Dam after interference from Edge.