Is it possible to add Bluetooth capability to my boombox?

I have an old Sony Xplod boombox. Looks ugly (never liked its looks) but sounds great. It has AM/FM and can play CDs, including MP3 tracks. It also has an AUX input which allows you to connect anything with a standard earphone plug like the iPhones used to have. It does not, however, have USB.
Is there an accessory that I can attach that will add Bluetooth connectivity?