Technically, yes. SIDS will occur when airways are blocked, and this could happen in numerous situations.
However, a child can still sleep on their chest or side without the risk of SIDS. It just requires you to put them in that position.
If your child has some form of respiratory problem, perhaps from the birthing process, your pediatrician may recommend that they sleep on their chest to aid breathing, but will also advise on how to do this while avoiding SIDS.