No degree is needed to obtain a PMP. They have good one week training courses to help you after you have studied the manual for awhile. They expect you to have some experience managing projects. CHeck out the PMI website here: www.pmi.org. Here is an excerpt from their web site:
On the road to a successful career in project management, there are three basic strategies: obtain a formal degree in project management, take continuing education courses, or pursue the Project Management Professional® (PMP®) certification. This article surveys current opportunities in project management education and includes the views of numerous authorities on how best to prepare for a career in the field, on the importance of internships and mentoring, and on the increasing integration of project management theory into other disciplines. The most robust strategy to career success is probably a combination of knowledge-based preparation (like obtaining a PMP certification) and skills-based training.
http://www.pmi.org/learning/library/threefold-path-decisions-opportunities-education-3698
