NO. BTM-2013 is a replacement product for T-3/32. Due to the significant advances in the program and how the data is stored, the two versions are not compatible.
However, BTM-2013 does have an option to "convert" your T-3/32 tournaments by going to C) Open, Create NEW, Close > 5: Convert T3 Tournament. This option is designed to copy your bowler information from the T3 tournament only.
The actual tournament rules will have to be configured as if you were starting a new tournament.
Events, squads, handicap (if used), prize fund and all other aspects of the tournament will need to be entered.
You will also need to enter the new registrations for the bowlers.