It's possible, but more likely you have something called a tendon slip. There is a main tendon and some separate fibers alongside the main tendon. They are usually inside the same tendon lining or sheath. Since you can see them move separately, they may each have a separate covering.

From studies of anatomy we know about three percent of the population has some differences from the norm. Sometimes this is a missing tendon or muscle. Sometimes it's a fused bone or missing bone. Small variations in placement of tendons is very possible.