With known background and mechanics rules is it even possable for a Technomancer to have ownership of a matrix device with his abilitys? Vs with a commlink?

This question is impossible to answer. Strictly by the rules - yes, nothing prevents a technomancer's living persona from owning something. But this is the edition where bricked Wired Reflexes "spectacularly fail with sparks" and absolutely no effect on the user and can then be repaired without surgery through what appears to be pure witchcraft. Where the question "who owns the goods in a Stuffer Shack and how is their ownership transfered to the buyer?" is a null pointer exception. Where the security spider has to manually log in every single wageslave who wants to do some work in the host. Where web design requires net marines and elite puzzle agents and has lethality risk. Where matrix ownership is tied to what I can only assume is your soul since changing commlinks and getting brain surgery doesn't alter your persona.

SR5 matrix is made of unicorn pubes and uncaring, and the most insane arguments for and against Technomancers owning things can be valid. You can tell me that matrix ownership is actually handled by "Metaplanar Horrors and Partners LTD" and that that MARKs are Horror Marks and I would believe you. It'd certainly be one of the less weird explanations for how any of this shit works.

Heh.

As soon as my ongoing writing gets into the realm of SR5, this is something I plan on writing in, where an over confident cyber-sam gets his spine set on fire when his Reaction Enhancers gets bricked.