“Can heel spur be cured?”

It can be removed but I would recommend evaluating to see if it is the tendon or fascia causing the problem.
Is the spur on the back of the heel?

yes, a heel  spur/pain can be cured. There are conservative treatments which include stretching exercises, arch supports, anti-inflammatory medication and injections. If this does not help, then physical therapy and surgery can be considered. Jonathan M. Kletz, DPM Texas Foot WorksDallas, Athens and Gun Barrel City Texas214-340-8885

Yes. The heel spur is not the issue as they do not cause pain. It is secondary to the plantar fascial band of tissue pulling away from the heel bone leaving an open space which fills in with bone and causes a spur. The damage to the plantar fascial band of tissue is causing the pain. Most therapies such as physical therapy, stretching, inserts and radial eswt can be helpful. But if you want to resolve the heel pain for good we specialize in the 1 time treatment using high intensity shock wave therapy, with a 98% 1st time treatment success rate. We are one of 12 in the US that specialize in this treatment and have been doing this for 27 years. This is the only non-surgical treatment for the resolution of heel pain.

spur itself no