A new Manhattan company aims to make booking an appointment with a physical therapist as easy as reserving a table at that trendy Italian restaurant with your smartphone.Cofounders Greg Peters, 36, and Dr. Stephen Fealy, 48, started BetterPT late last year and have already secured $2.6 million in funding from investors for its mobile app. The company has landed a partnership with Professional Physical Therapy, the Uniondale, Long Island, provider of rehabilitation services and physical and hand therapy. Professional PT, which operates 109 practices in the tristate area, including 25 in Manhattan, logged 1 million visits last year.BetterPT may be aiming to become the OpenTable of the physical therapy world, but it faces competition from Zocdoc, which allows users to search for physical