No, we don't support JSPT yet. However, our latest release (v5.2.x) updated how our profile systems work so that alternate registration flows are supported. The plan is to add a JSPT plugin which would allow a registration flow through their extension, with profile data pre-filled out.
We've already been in touch with the JoomlaXi team and are hopeful to get some work done soon and release with the next major version of JFBConnect (in early 2014).
I hope that helps answer your question,
Alex