Yes, although this may make your application significantly less competitive. If possible, include additional information in your application. For example, if your graduate program or internship is in the process of applying for accreditation, include a letter from your Training Director that explains this. We are looking for the best overall "fit" to our program, but in general, an APA/CPA-approved graduate program is required and an APA-/CPA-approved internship is strongly preferred.