The easiest answer is unfortunately not. We invested a lot of time into Wix and it was VERY disappointing to find out it doesn't work. While you can place code on your Wix site, it utilizes iFrames for the code, which does not allow for the Munchkin code to work correctly. We still decided to go with Wix, since we invested the time in it, and due to the fact that we have an in-house application we developed that still utilizes Marketo (Wix is used mainly for our marketing site).
Depending on how important this is to you, you may want to look at other web tools that allow you to embed the Munchkin code directly (or have direct access to the code in the headers and footers of the website). With all of that being said, Wix is a pretty great platform. It's extremely easy to use and SUPER intuitive.
Chris, have you retested this recently? I just put up a dummy WiX page (class3) and added an HTML block with Munchkin in it. It is logging correctly.
This would be new news to me. I know when I tried this (about 6 months ago), I couldn't get it to function. I reached out to both Wix and Marketo support on the matter and both said it would unlikely to function. I'll have to try placing it on our site and see how it works.
Did you just use the HTML/iFrame embed app?