Answer
Yes.
Work Step by Step
If the particle has a velocity that is parallel to the magnetic field, the magnetic force is zero.
Another possibility is if the particle has a velocity that is exactly opposite to the magnetic field, in which case the magnetic force is again zero.
A third possible situation is the particle moving perpendicular to the magnetic field, but having an electric field perpendicular to the magnetic field and perpendicular to the velocity, such that the electric and magnetic forces cancel each other out, i.e., qvB = qE. The net electromagnetic force is zero.