This might fit the bill but i think its more a service than a product.
Any development shop can help with the task.
Here's another that's an actual product.
Google is your friend.
FYI i have no affiliation with either of these offerings and can not vouch for the quality or effectiveness.
Because FMP is a fundamentally different beast than Access i would do the job manually and take the time to optimize the business process(es) while developing the new solution.
Getting the data and tables out is as simple as exporting a table of data out of access into xls or csv format and importing in into FMP as a new table.
There is alot of good knowledge and experience on this Forum from people who have done the same conversion.
Welcome to FMP.
Your not in Kansas anymore
Access > Filemaker, short version.
1) Create a new solution in Filemaker
2) Export data from access
3) Import data in 1)
I'm not going to use this option - the issue is more around stored procs, forms, functions, macros etc.