No. Because Cohen very explicitly did not sign for Trump either in the secret agreement using pseudonyms or in the doublesupersecret side agreement unmasking the parties.
To sign for Trump, as his agent or attorney in fact, he would have had to have actually signed on the lines provided for “DD” in the secret agreement or for Trump in the doublesuperdupersecret side agreement with some indication he was signing for another with legal authority to do so.
The Trump lines are conspicuously blank in both.
On a side note, I do find it perplexing that the guy who lis alleged to like pee shows is “DD” and the woman with the huge fake boobs is PP.” Makes one suspect Cohen embedded a passive aggressive clue as to the nature of the photos and video and why he was so anxious to hide them.