Yes, you can. but bear in mind that Access has all the form creation tools and reports etc.
You would need to develop the forms and tools your self through some language like PHP, ASP, Javascript, VB, VC++, Java, etc...some of these require the use of the web server (iis on windows or you can istall any other web server you want, ie apache)
but MySQL is a useful tool...
good luck
Bastien