Yes, it possible to orient a current loop in a uniform magnetic field such that the loop will not tend to rotate.
The forces on opposing sides of the loop would be equal in magnitude and opposite in direction if the magnetic field is pointed perpendicular to the plane of the loop; yet, there will be no net torque produced on the loop. In a constant magnetic field, there is no torque experienced by a current loop. A current carrying loop in a homogeneous magnetic field will never exert any net magnetic force. In a constant magnetic field, there is no torque experienced by a current loop. Due to the zero torque on the loop in this position, the plane of the loop is parallel to the direction of the magnetic field.
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