As others have said, FAT CHANCE! EU is, and will remain for this gen, Sony country. It launched ahead of Xbox One in every region there. Sony sold more in week one in the UK than MS sold in 2 weeks (250K vs 170K.) Sold 100K in 2 weeks in France, while MS sold 50K in 3. And 80K in 2 weeks in Spain, while MS sold 25K in 3. Xbox One will never take EU.
As for US, I guess it's a possibility, though if it does, it won't be by much. According to a recent report, the PS4 is still ahead of the Xbox One, even with supply issues. Now, imagine how sales would be if there were enough PS4s to still have some on shelves, like Xbox One had. And after launch hype dies down, the price/power advantage will really come into play.