I don't think so. Not teams like Heat, Spurs, or OKC. They can still continue due to depth and experience but a team like Trailblazers who don't have good depth will certainly be in a lot of trouble if they lose someone to an injury.
With T Jones holding his own recently, the urgency to upgrade at PF is diminished and Asik might be traded for draft choices or another player position. Otherwise, I think Anderson would have been a Rocket already. This trade could still happen before the deadline.