I cut the back of my hand about an inch long cut i can move all my fingers and hand is it likely i could have severed any tendons completely?

No: Cutting tendons would cause a lot of pain and difficulty with movement.

Simple self tests: If u can slowly form a complete fist & then stretch out all fingers to their normal position, you have things hooked up.However, if ur cut entered the surrounding sheeth of a tendon u may have introduced bacteria that can get into your hand & do a world of harm.?Tetanus shot within 5yr?Cut by clean edge or dirty?Shallow cut or deep enough to see fat?Unless its the shallowest of cuts, get it checked.