Not unless you BOTH have very fast and reliable internet connections. I've been involved in doing FTP to Germany, Australia, and all over the US. You need a fast upload and they need a fast download....and reliable. One end or the other loses connection, and you have to restart.
Some programs allow you to pick up where it left off, but still have to have someone monitor it to make sure it's moving. It took 4 days to FTP to Germany what Fed Ex could have got there in 2.
And Dropbox is not a great option unless you BOTH have the paid, pro version. It limits file size on the free version, so guess which version people constantly try to get me to use?
There were several companies at NAB that have file transfer systems, but for a small shop, it's cost prohibitive. One I looked at started around $5000.00, and while it was damn awesome in it's ability and ease of use, there's no way I could justify the expense.
FedEx a drive is what I offer to do, FTP is a labor charge if it falls out of the day rate (10 hours).