U-Turn sounds like you're saying "Your Turn"
It's extremely unlikely. Its Japanese translates to Round-trip, which sums up rather well what the move does -- it switches the active Pokemon with one in the party.
Also:
A U-turn in driving refers to performing a 180° rotation to reverse the direction of travel. It is called a "U-turn" because the maneuver looks like the letter U.
Source
Hope I helped!
It almost 100% is considering how Game Freak choose their names. If you notice, some of those names follow a bit of a trend.