Can combat mos be exempt from the sprint drag carry?

The only exemptions for the ACFT, or any part of it, is pre-/post-pregnancy or if you have a medical profile.

PREVIOUS versions of the ACFT were designed to be MOS-based, but the current version is like the old APFT where it is gender and age based.

Really?? Unfortunately there are times you will have to do this in combat, to get your folks to cover to treat them!!

If you (or any other SM) have an injury that physically excludes you from performing that exercise and that your P2 Profile reflects that the SDC is removed for you, then being Combat MOS pays no mind to the matter.