Our EPOS system copies data by blending the database right into a zip file, and by hand copying to every till, using shared sites.

Each branched is loved towards the primary location, using VPN which may be problematic, but is needed for that file discussing to operate properly.

Since our database system presently doesn't support replication, can there be another solution to copy data or must we migrate our software to a different database?

Replication may be the "right" approach to take, therefore if moving to a different database is definitely an option (could it be really?), this is the best route.

You may think about a utility that queries all of the tables for raw data (in CSV?), delivering that to files. Then a minimum of it's not necessary to go ahead and take database lower to complete the backup.