Yes, I did that when I wanted to download library books with ADE. It was all a bit of a faff, but if you look at the thread here (
https://www.mobileread.com/forums/sho...d.php?t=163145) at the messages from spindlegirl and me, they should help you. The main thing is that your T1 needs to be authorized or 'registered' to use ADE, and that means that you need to set up ADE, and then log into the Sony store with your ADE password. After that, it should be relatively plain sailing.
I did end up downloading the Reader software so I could use the Sony shop, but I have to say it's a bit of bully - no matter what program I set up to open ePubs (Calibre in my case), if I open anything in Reader, it then becomes the default program, which I find annoying.