Usually (in the absence of a default judgment or a settlement in the case) the only way this could be done is in motion for summary judgment, and then, only if there was somehow irrefutable evidence of ownership (e.g. a certificate of title to a car supported by an affidavit that no truthful counter-affidavit can overcome).
Often, filing a motion for summary judgment would be deferred until statements made by key witnesses under oath in depositions or written discovery responses preclude a viable counterargument.
Presumably the operative complaint or counterclaim or cross-claim asserting the treaspass/conversion cause of action would assert that the person bringing the claim owned the relevant property and that would be enough to survive a motion to dismiss.
There are similar claims involving property rights where an early evidentiary hearing is possible:
a trespass action seeking injunctive relief (such as to exclude someone from chattels like an RV) including a preliminary injunction and/or temporary restraining order, or
a replevin action (a.k.a. claim and delivery action) seeking physical possession of tangible personal property.
But, these remedies are not available in a claim seeking only money damages (e.g. if the property in question was destroyed), and the early evidentiary hearing would provide only preliminary relief pending a full hearing on the merits. The early hearing would not provide a final resolution of the claims in the case (although often a defeat at this stage would cause a defendant to abandon their case).
Generally speaking, the delay from filing to trial in federal court in a civil case such as this one is likely to be particularly long, compared to state courts.