You can, but as is the case with any room request, nothing is guaranteed. That being said, DW and I had the same room at CBR 3 years in a row. But we were looking for a smoking room and since not too many people requested it and we went at a slow time of year, we were able to get it.
When I requested the room, I asked for room 'X or thereabouts', at least telling the room assigner approximately where we wanted to be. It just worked out that our room was available for the two years we asked for it.
ETA - Yes I know they no longer have smoking rooms, I was mentioning that as a reason for why I think we were able to get the room. This year the room assigner or the person who entered the request misread the number and we ended up originally on th eother side of the resort! We asked for a room close to what we wanted and we found out this was a better room for us!