Yes, you should not have any trouble taking your shoes & socks off for this ride.
Can I recommend bringing some zip-lock bags with you? If you get the jumbo size, you can fit your sneakers & socks in one of those and keep them nice and dry. This is also handy for stuff like cameras & cell phones. Also, I would also recommend wearing a bathing suit under your clothes or bring a change of under garments, as there is a very good possibility you will either get a little wet or soaked. I forgot to do this on my last trip, did Kali first thing, then had to wait quite a while for things to dry. They should install air hand dryers in the restrooms outside this attraction.