As noted, I don't know if your older version of Access used ODBC (linked tables) to SalesForce.
However, as a FYI, be it access 2003, or say 2019 access, they both work the same in this regards.
So, updating to a newer version of access will not change what was working before (we just not sure how things were working before!!!).
The only possible issue is if you are using some 3rd add-in or API that was x32 bits. If you use Access 2019 (or whatever recent version of access), such add-in or API to SalesForce should continue to work as before, the ONLY exception is that you continue
to use Access x32. If you now using office x64 bits, then you likly need a new x64 bit version of that external 3rd party library to work with Access x64.
If the use of the SalesForce data was ODBC before, then you should be able to use any recent version of Access with ODBC. If some special Sales Force ODBC driver was being used here, then you need a x64 bit version, or continue to use Access x32 bits.
So, Access 2019 should work the same as the access 2003, it really comes down to what "add-in" or interface being used with Access 2003. It is almost for certain that the same approach can be used with new versions of Access. The only real issue is the x32
vs x64 bit issue, but other then this issue, how the older Access application worked with SalesForce should be a option with any recent version of Access.
Regards,
Albert D. Kallal (Access MVP 2003-2017)
Edmonton, Alberta Canada