The short answer is yes. The Prior Provincial of the North American Carmelite Province of Elias says so.
There is a difference between wearing a blessed scapular and being enrolled in the scapular. Whether you wish to wear a blessed scapular is own personal choice. However, if you wish to be officially enrolled in the Scapular of the Blessed Virgin Mary of Mount Carmel, then you must do so in manner approved by the Carmelites themselves. (The Book of Blessings confirms this in paragraph #907.) The North American Provincials of the Carmelite Orders have, in fact, published a ritual book that provides the official enrollment.
However, there is an ambiguous line in this rite that seems to call into question whether any priest can enroll the faithful in the brown scapular. In the preliminaries for the rite, it says, “Priests and deacons have the faculties for blessing Scapulars; other authorized persons may enroll the faithful.”
Does this mean that, although priests and deacons may bless a scapular, they may not enroll the faithful unless explicitly authorized by the Carmelites? I asked this question to another priest. He reached out by email to a Carmelite Prior he knew and received this reply back:
And so, Fr. Mario Esposito, the Prior of the North American Carmelite Province of Elias (which is one of the five provinces that authorized this ritual book) confirms that any priest may enroll the faithful in the Carmelite brown scapular.
Here are a couple photos of the ritual book referred to above:
