My experience was from a few years ago, but when I lived in Europe in a country without a Goyard, I did have a few bags successfully mailed to me. However, there was nothing fast about the process so I would plan accordingly.
Most of my requests (the website had a distant acquisition link for writing- not sure if it still does) went unanswered. But during the successful transactions, it was days between every step along the way. 1. I would like this bag. 2. Here is the cost of the bag. 3. Ok, I would still like the bag. 4. Send a transfer to this account (I think they might take credit card now). 5. Ok, we received the money and can send it now via 2-3 day shipping (all bets are off if there is a weekend involved).
On the last bag, the warehouse got my address number completely incorrect on the shipping label so that added many more days to shipping. Since I lived there, I can't give any info on hotels or VAT. Shipping cost was hefty.