There are flying rates for owls, like the barn owl is 80 km/h. Flying from NA to Europe wouldn’t even take more than 100 hours (60 from Boston to Lisbon), so with that it would mean the bird would be spending 3kW of energy, which is just nonsensical.

All birds have a kJ/d amount, and even with a huge multiplier you wouldn’t come anywhere near the amount in the meme.