I think so. Maybe only 3% of the population falls into this category. I'm talking the people so severely ugly, it's either really bad genes or a disease/deformity. I feel like these peope will never find anyone, no matter how hard they try.
I once knew a very ugly guy (his personality wasn't great either) and I thought he'd never get anyone. One day I saw him holding hands with an equally unattractive girl. It was kind of cute that they found each other.