No. Unfortunately there are certain restrictions placed on mobile devices which limit access to the files. You can purchase items on your mobile device and download them at a later time on your computer by using the link in the email sent to you by SongLibrary.
Mac users: Once the files are on your computer you can add them to iTunes and then sync your iPad or iPhone to iTunes.
Windows/Android users: Connect your mobile device via USB to your computer. Locate the downloaded files on your computer and transfer the mp3 files to the music folder on your mobile device. This is usually a simple drag-and-drop operation.