Can Iron(III) oxide oxidize elemental iron in a nitrogen environment under room temperature without any catalysis?
Whether this qualifies as "without catalysis" is a matter of perspective, but it certainly does happen under ambient conditions.  One mechanism of atmospheric rusting involves the $\ce{Fe(III)}$ bearing rust reacting with fresh iron to form $\ce{Fe3O4}$, which then oxidizes in air to form more rust.  See Section 1.6 here.

We can capture the $\ce{Fe3O4}$ stage by merely placing the rusty material in water with a little electrolyte, such as rinse water after an acid pickling process, where air cannot easily penetrate.  The rust, being converted to $\ce{Fe3O4}$, turns black.  This emphasizes the fact that the iron reacts with the $\ce{Fe(III)}$ in the rust without oxygen, once the rust has first formed.

I've actually seen the $\ce{Fe3O4}$ formation happen on steel products during rinsing after pickling, giving black stains or stains bearing a black component.  To prevent it, we had to design and maintain the rinsing (and drying) processes to prevent the rusting.