Yes, you can do it.
For AIX operation system, you can use SysBack which should purchase from Tivoli.
For LV, you can simply select the LVs from TSM Client to backup them.
For SAP, you should purchase Tivoli Data Protection for SAP
For DB2, you don't need any additional software just install TSM Client and use the command to backup, such as:
db2 backup db sample use tsm.
Good luck for your system and database backup/restore.