Yes, it is possible. You should be fine as long you have a PayPal account.
Before you can purchase anything, you must register at Amusement-center (
https://www.amusement-center.com/en/user/free.cgi)
When you're done with registration, login via AC and click on EGG MUSIC (

) to start browsing/purchasing (in Japanese only). And yeah, you can change the language on AC too, which is just as well, seeing that the payments will be made through AC's checkout (

).
EGG MUSIC icons (

)
1. Price (obviously)
2. Checkout (will refer you to AC's checkout)
3. Download (will appear after the payment is made/confirmed)
As for telephone/address... I used my own. No issues arose from doing so. Pretty sure payments will be made in Yen too, but don't worry about it as PayPal will do the conversion.