Maybe, but then again, maybe not.A lot of cavalry regiments escaped the actual surrender. Some of the units cut their way out of the situation at Appomattox and went on to later disband at various places. A case in point is my G-G-Uncle's regiment the 22nd Virginia Cavalry of McCausland's Brigade. McCausland made some comments about the situation he found his brigade in at the time of the surrender. Here is what he said:
My command- by that time a mere skeleton reduced to not more than 200 men-waa next to General tom Munford's on a hill above the town(Appomattox Court house). Suddenly there was a lull in the fighting which for days raged with the fury of hell. I noticed the men along the battle line below stacking arms. Just at that moment General fitzhugh Lee came dashing on his charger.
"Hi, Fitz, what's going on out there?" I asked. "Uncle Bobby has surrendered," he shouted back spurring his horse to speedier flight. I turned to Munford and said, "let's get out of here."
We made our way to Lynchburg where wew disbanded our forces. I went to Wytheville and, coming through McDowell county, made my way down the New River and back home there. I didn't wait to get a parole, so technically, I have never surrendered.
Many of Fitz Lee's division, of which the 2nd S.C. was a part, did as McCausland's men did.
Many soldiers found themselves in such situations. So your particular individual may have gotten a parole at Appomattox or somewhere else. An option would be to obtain a copy of the individual's service record through this site. On these pages you will see notices that records are available here.