If that was the program discussed on here earlier this year (Ph.D. in Behavioral Health Psych?)...it is a joke of a program.
As for "transferring"...that is very very rare in the field. It is a hard sell to jump programs because neither side tends to see it as a positive thing. If your mentor leaves/dies, your funding gets cut, the program folds, etc...then that is a much easier explanation.
It may be possible to sell the "I want to do more research" angle, but a research heavy program will want you to have significant research experience prior to considering you. The typical applicant that gets into a research heavy program will have 2 (or more) years of working in a research lab, multiple publications and presentations, solid GPA, very good GRE, etc.