Yes!
With each passing year the number of applicants to US residencies increases significantly, with only a modest increase in residency positions.
Source: http://www.nrmp.org/data/Main2011.jpg
This is likely due to a number of reasons.
- There are increasing numbers of non-US students (foreign) applying to US residencies
- There are increasing numbers of US students from non US schools (usually the Caribbean)
- There are increasing numbers of medical schools opening
- Medicaid has not increased its funding for residency positions at the same rate as #1,2,3