All teams in the NBA get their feet cut out from underneath them by injuries to their players. But the Blazers, over the history of their franchise, have had far more than is reasonable. From Bill Walton up through Greg Oden, and now brandon Roy, there are alot of missed games and missed seasons.
Some players, like Marcus Camby, are injured alot but come back to have productive careers. Players like Oden just seemed cursed with not having a body that ever stays healthy. I would imagine that young players with chronic injury problems, most of the time, have a career plagued with injury, BUT there have been some players who start their NBA career injuried all the time but transition into healthy players.
The player I can think of, off the top of my head, who went from chronically injuried to healthy was Grant Hill. Early in Grant's career he never played as a result of foot and leg problems. Now he plays healthy most of the time and is one of the oldest players in the league. I suppose there are more of these kind of players but not many.