Yes, you can print from Windows® Phone with your Brother machine. But your Brother machine does not support scan function in Windows® Phone.
You need to install Brother iPrint&Scan app into your device to print with your Brother machine. Brother iPrint&Scan is available on the Windows® Phone Marketplace for free.
For more information click here to see Brother® iPrint&Scan support information.
Also, the latest User's guide for Brother iPrint&Scan is available in Manuals section. Click here to see the Mobile Print/Scan Guide (Brother iPrint&Scan).