Yes, once you will issue those commands:
Aruba 2920 Stack on Site 1:
trunk 1/a1,3/a1 trk2 lacp
Aruba 2920 Stack on Site 2:
trunk 1/a1,3/a1 trk2 lacp
you will obtain a logical interface capable of sustaining two aggregated single 10Gbps physical links managed by LACP...if 1/a1 or 3/a1 will go down traffic will be automatically re-routed to remaining Up port (3/a1 or 1/a1), this on each end.
Clearly if you loose 1/a1 and 3/a1 on the same end...you will lose the entire link.