Yes it does. ODBC was invented for UNIX by the X/Open and SQL Access group. Microsoft just invented the name "ODBC" because they like trying to patent other people's work.
I've come back and edited this, because, on reflection, you're not going to get access to an MS Access database, if you are running on a hosted Unix server (unless you also get access to a hosted Windows server, in which case you are more likely to find yourself with A) a big hosting bill and B) and SQL Server database).
Depending on the flexibility of your hosting agreement, your admins at the hosting provider may be willing to install UnixODBC, if you ask them. Many good ODBC compatible databases exist for the Unix environment, in particular Sybase, PostgreSQL and, of course, MySQL.
The following (my original reply) still generally stands, WRT running ODBC connections to gain access to ODBC compatible databases (which include Microsoft's database software).
Truely open-source ODBC drivers can be found here:
http://www.unixodbc.org/
There is an X-Windows driven GUI for administering the data access, but since you're on managed hosting, that probably isn't relevant to you.
If you just want the familiarity of ODBC, and can dispense with Access, this quick tutorial may help:
http://www.unixodbc.org/unixODBCsetup.html
A number of other alternatives are discussed here:
http://www.phpcenter.de/de-html-manu...tabases.access
Access Database
