Yes, but it would be nice to ascertain when he enlisted and with what unit.
I tried a search but could not ID him in any other organization.
Your next best bet would be to see if he or a widow filed for a Confederate pension. However, only those who were idigent or disabled were eligible. Also, Confederate pensions were granted in he State where he was living at the time of filling, irrespective of State of military service.
I checked the Texas index and Arkansas list, no luck.
I found this married info, don't know if it he:
Pemberton Saline Co Missouri Marriages
Benjamin L. Pemberton- Sarah E. Barnes Sept 12 1867