Looking at the Grom website it does appear that it wouldn't fit but if you have a separate CD changer I can't see why it shouldn't. The one I installed in a Range Rover was listed as not being suitable but we took the chance and it did and works perfectly. Might be worth a call to Grom if you decide to go that way but you'd probably need to identify what unit you have in the first place. Alternatively, you could risk a tenner and try one of these
New Bluetooth Car Kit Wireless FM Transmitter Dual USB Charger Audio MP3 Player | eBay. It connects using an FM transmitter so you just tune your radio to it, will play music from a USB stick or over Bluetooth and gives you the option of hands free phone too. Wouldn't expect the hands free side to work that well with no external microphone, the quality won't be as good as a direct connection but it'll at least allow you to play from a USB stick (and unless your music files are stored as 320kbs mp3 files, the source quality isn't going to be brilliant anyway).
I've got one of these
Sonichi S100 Digital Radio Adapter in my works motor and another in the other half's SLK (which she had in her previous C180k). They connect using an FM transmitter and work well giving DAB radio as well as a line in, despite using FM the sound quality is plenty good enough.