Can I have two Rotoms with the same forme on the same team?

According to this question, if Rotom is possessing an appliance when traded, Rotom reverts to its original forme, and the appliance returns to the Rotom's Room.

Is it possible to have, for example, two Frost Rotoms (two Rotoms both possessing a refrigerator) on the same team somehow, without cheating?

I dusted off my old copies of Pokémon Diamond, Platinum, and SoulSilver to test this. When you enter a trade in the Union Room, every Rotom in your party turns into a normal-forme Rotom, even if it isn't being traded to another game. The appliances get returned to the room in each respective game. I suppose Gamefreak anticipated this issue and implemented this to make sure people wouldn't run into any same Rotom-forme problems.

It's not possible to have two Rotom of the same forme. When you choose an appliance to turn Rotom into a specific forme, the appliance then disappears (until choosing a different forme), so there wouldn't be a way to have two of the same forme in your game without cheating.

I know it's kinda late, but in 4th generation games, we can't have rotom with same form at once. But in 5th and 6th generation games we can have multiple rotom with same form in one game.

Unlike Rotom's Room, these locations do not have five separate appliances; instead, a single box has the power to change Rotom's form. This allows multiple Rotom to share the same form in one game, as well as being tradable in all forms.

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