Chip played high school hockey at West Essex where he was a three time All League Selection, co-MVP of the league and captain of the 1978 State Championship team in his senior year. He also won a Jr. National Championship that winter with the New Jersey Rockets.
Chip went on to play four years at Plattsburgh State where he played in two National Championships and was selected to the All Tournament Team. Grabowski finished his playing career in 1983, after participating in the New Jersey Devils Training Camp. He went on to coach at West Essex and Summit High School.