Yes, veterans may be eligible for Social Securuty benefits as well as VA disability benefits? There is dual coverage in most cases.

“People in the military have been covered under Social Security since 1957. Even people in the service before 1957, may receive special credit for some of their service. People in the military are covered for the same survivors, disability and retirement benefits as everyone else.

A person’s Social Security benefit depends on earnings, averaged over a lifetime. Generally, the higher your earnings, the higher your Social Security benefit. Under certain circumstances, special earnings can be credited to your military pay record for Social Security purposes. The extra earnings are for periods of active duty or active duty for training…”
These extra earnings may help you qualify for Social Security or increase the amount of your Social Security benefit.