No. A mallet finger is a deformity of the finger caused by damage to the extensor tendon. Pain only without deformity is not a mallet finger.
Mallet finger. Pain is one symptom, a droopy joint is seen CommonRX is 8 week of full time and 4weeks of night time and part time activity splinting on the distal joint only . One can work with a mallet fingersplinted . Dirk Nowitzki played in the 2011 nba finals with this injury. But he had a full time trainer http://handcenterwma.blogspot.com/2011/11/mallet-finger-baseball-finger.html.