As general rule, you should be able to import the data.
The problem, or "issue" here is not DOS, but what format the data is in.
DOS is simply a operating system like windows.
So, can you transfer a windows database to access 2003?
Well, it depends. If the data format is not in something that ms-access can
import, then no.
So, can you transfer a DOS database to access 2003?
Well, it depends. If the data format is not in something that ms-access can
import, then no.
Windows has many many different types of database systems available. DOS
also has many different types of database systems available.
So, what program, or format is the database in? If that program is still
available, then often the database can export the data to a text file of
some type, and these are usually able to be imported into ms-access.
You are going have to come up with more information, or more details as to
what program, or what format the DOS file is in. So, the answer here is
perhaps you can import, but with such vague information on your part, it is
wild guess.
If you can dig up some more information as to what program, or what format
the data is in, then you go a long ways to determining if importing is
possible.