Yes, Ernest Borgnine served in the US Navy for 10 years, from 1935 to 1945. He was discharged in 1941, but re-enlisted after Pearl Harbor.
Borgnine attained the rank of GM1 (Gunner's Mate First Class) before leaving the Navy after WWII, but in 2004 was awarded the honorary rank of GMC (Gunner's Mate Chief) by then Master Chief Petty Officer of the Navy Terry Scott for his support of the Navy and naval families worldwide.