Of course you have but it depend where did you buy it cause shipping back could be expensive, anyway I use card reader too cause connection with usb cable work but it's terribly slow...
I bought it on eBay, luckily from a company in my country, not China.
But yeah, I wrote them first about the faulty USB port and asked, if they
can send another Yi until August, 30th (because vacation) or what they
can offer me otherwise.
If they offer me some money back, I will probably take it and use the
microSD externally. If they offer me another device, then I will take it,
as long as it arrives before my trip.