Yes sure!, you can do it easily.
I will tell 2 ways it can be done!.
1.- Intall PHP in Windows.
a) Connect to your ASP database using ODBC functions from PHP.
b) Connect to your MySQL database using MySQL functions from PHP.
c) Query ASP database (select * from ASPTABLE )
d) Insert Data into MySQL Database.
2.- Install ODBC Drivers for MySQL in windows.
Use Borland Delphi to connect to mysql and your ASP database....
You can use TBatchMove component to copy all data.
3.- You can Also your the DAta Migration Wizard that comes with Delphi.