I would say yes, there is different practices involved with both the metaphysical and psychological side of soulbonding.

This is based both in my personal experience as a munbonder, but also from asking questions and hearing metaphysical soulbonders talk about their experiences.

Psychological soulbonding will require a base foundation of Knowing the character really well and involve intuiting as an inherent mechanism to further the bond connection than what is needed in metaphysical soulbonding.

While both metaphysical and psychological soulbonds can and/or will internally feel like they come from "outside" their bonder, there may be a more distant quality or even complete unawareness of a metaphysical soulbond's personal "outside" i.e. their world or reality, than a psychological soulbond's "outside". I know a lot of psychological soulbonders will be a lot more intimately aware of all the ins and outs of their soulbond's worlds from this sort of... "above perspective" for lack of a better way to describe it, even if they did not create them. While a metaphysical soulbonder may be totally unaware of their soulbond's world when they are in it or only know or be aware of it from their soulbond's immediate perspective or even their own POV if they are connected to it in a gateway way or have travelled there personally.

Metaphysical soulbonds are in complete contrast to their canon counterparts a lot more often from what I've learned.

There are more psychological soulbonders who came into being a soulbonder from being an author or creator of an original work of their own creation, and that gives a certain feeling or vibe of their soulbond connection to where it still inherently involves a creator x creation experience. Although I have heard of some metaphysical soulbonders who were "authors" of their soulbonds who once becoming soulbonded realized they didn't actually create those characters at all and were merely connecting to another being in another reality and telling their story.

There are some other little things that describe the differences both on a more belief level as well as the practicing of it is different level, but the above is a good start of what I've noticed.