If you won't be using brakes, this shouldn't be an issue. The 700c rims are slightly smaller in diameter (8mm) and therefore might require long-reach calipers, but this is all obviously a non-issue with no brakes. The reason your frame is important is to check your dropout spacing, which will determine what sort of hubs will fit. Do you have any info about the frame at all?

Track or road, decade, any of this would be helpful.