Do try and consider the cost between time/money required to get the CFM application running, versus coding the application in, say, php and mySQL. MySQL will undoubtedly be a more suitable database than MSAccess, especially when considering that Access just isn't meant for a high volume of traffic on a data driven web site.
That having been said, however, you may be able to host ColdFusion files in linux. I know that back in the Allaire days (ColdFusion Server 4.5 and 5), they had ColdFusion Express which was a scaled down version of the server for Windows and Linux. You will need to talk to Macromedia
about it though if you do not have the Server CDs, since I cannot find reference to the download on their site...
Additionally, here is an article about Migrating ColdFusion applications from Windows to UNIX
that may be useful.
As far as hosting the MS Access database, I am certain there is a way, but it may not be advantageous to do so. Good luck!