. . . . Can I possibly have my website accessible on hand phones and other devices that support adobe flash. . . . . .
If the mobile device support Flash and can display full web sites then they will do so.
To be able to get your website displayed on the majority of mobile devices you need to have a mobile version as well as a 'normal' version - and it must be HTML / CSS based.
This means you would have to use a program like Xara Web Designer which will create sites for mobile devices.
The downside is you would be starting your website from scratch again - you cannot import a Website Maker project into Web Designer.