The following players will need everything to fall into place and then some to make their way into award contention, but it wouldn't be impossible.
Jeffery Taylor (Charlotte Bobcats): If there's a second-round pick with a puncher's chance, it has to be Taylor. His game will translate well to the NBA hardwood, and he won't face major impediments to seeing major minutes.
Jonas Valanciunas (Toronto Raptors): The fifth pick in 2011 struggled on the Olympic stage over the summer, but he'll share the court with a good passer (Kyle Lowry) and a stretch forward (Andrea Bargnani) who should free up space for him to operate.
Donatas Motiejunas (Houston Rockets): The 20th pick in 2011 showcased his ability to score inside and out at the Las Vegas Summer League. Luis Scola's absence has created a void in Houston's interior, but he'll battle a bevy of Rocket newcomers for minutes.
Terrence Ross (Toronto Raptors): An athletic slasher who can shoot the three and play defense, Ross has an outside shot at bringing the award north of the border for the first time since Vince Carter won in 1998-99.
Jared Sullinger (Boston Celtics): Take away the questions about his physique, and Sullinger becomes one of the most polished (and accomplished) players in this draft class. He may not have the minutes to become a serious contender, but if Boston's veterans get stuck in the trainer's room, he has the skills to make a run.
Andrew Nicholson (Orlando Magic): Nicholson enters the league as perhaps the most talented post scorer in the draft class, and the Magic will be looking for a new go-to scorer.
Thomas Robinson (Sacramento Kings): Robinson had a very productive junior season at Kansas, but a lackluster summer league performance and a crowded Kings frontcourt could keep him farther from the chase than his draft position (fifth) would suggest.
John Henson (Milwaukee Bucks): Henson needs to bulk up in a bad way, but with his athleticism and shot-blocking, it's harder to think of a better situation in terms of potential minutes and production.
Kendall Marshall (Phoenix Suns): Goran Dragic is the odds-on favorite to be Steve Nash's short-term replacement, but should he (or the Suns as a team) struggle out of the gate, Marshall has the playmaking skills to approach gaudy numbers.
Austin Rivers (New Orleans Hornets): If Rivers can improve his shot selection and raise his basketball IQ, his potential is as great as any 2012 draft pick.