You would have to create your own as a 4 wire trailer will need a 5-4 converter. A 5 wire setup has all functions independent. A 4 wire combines turn signals and brake lights. Just splice the 5 wires that are already setup for your 5 wire trailer feed to the 5 wires going into the converter. The converter should already have a 4 wire output. You end up with 2 trailer hookups on the back of the bike.
I had a similar situation. I tow my Aspen camper way more than my cargo trailer. It uses a 6 pin round. My cargo uses a 4 flat connector. I have the bike set up with a 6 pin round connector. I found a 6 pin round adapter that gave me access to the 5 functions. I took a 5-4 converter, trimmed down the wires, and then wired up the 5-4 converter. It's not pretty but works perfectly.