I was wondering if a pilot with only an SEP can get his/her complex endorsement in a multi-engine aircraft? I would guess not but since I didn't find any clear info or FAR that sates you can't, I just wanted to be sure.
If the airplane meets the definition, which almost all multi-engine pistons will, then you can get your complex endorsement. There is even one training center that advertises getting your multi and complex at the same time.
§61.1 Applicability and definitions.
Complex airplane means an airplane that has a retractable landing gear, flaps, and a controllable pitch propeller, including airplanes equipped with an engine control system consisting of a digital computer and associated accessories for controlling the engine and propeller, such as a full authority digital engine control; or, in the case of a seaplane, flaps and a controllable pitch propeller, including seaplanes equipped with an engine control system consisting of a digital computer and associated accessories for controlling the engine and propeller, such as a full authority digital engine control.
§61.31 Type rating requirements, additional training, and authorization requirements.
(e) Additional training required for operating complex airplanes. (1) Except as provided in paragraph (e)(2) of this section, no person may act as pilot in command of a complex airplane, unless the person has—
(i) Received and logged ground and flight training from an authorized instructor in a complex airplane, or in a full flight simulator or flight training device that is representative of a complex airplane, and has been found proficient in the operation and systems of the airplane; and
(ii) Received a one-time endorsement in the pilot's logbook from an authorized instructor who certifies the person is proficient to operate a complex airplane.
Learn to fly aircraft with retractable landing gear, controllable flaps, and a controllable propeller using our Piper Seminole PA-44-180 airplane. You can earn your complex endorsement, or combine your training to earn your complex endorsement and multi-engine rating.*