Yes, he was lucky, but you will notice that one of his 'chutes partially deployed (opened), which helped to lower his rate of descent. If he had hit the water I think he would have certainly been killed.
There are other recorded incidents of survival from parachute failure, mainly during WW2. One air crew member jumped over Germany from 15,000ft with his chute on fire and landed in deep snow without serious injury. Another parachutist actually hit an airfield with complete parachute failure from 5000ft and only suffered a broken jaw. !!
Military paras now use reserve 'chutes and what we call 'Roman Candles' are fairly rare.and are mostly caused by a poor exit from the plane. The latest military chutes are designed for low-level jumps (around 300ft) so reserve chutes would be of no use as they wouldn't have time to deploy if anything went wrong with the main.
Remind me to tell you a true story of the first Gurkhas to be detailed for Airborne operations !