No. The vectorial definition of Lorentz force is

F = q[E + (v x B)]

If a particle has no velocity, then the cross product of the velocity vector and the magnetic field vector is the null vector, but there will still be a Lorentz force if there is an electric field.

For a particle not to experience Lorentz force, it must either not be electrically charged and/or not be put in an electromagnetic field with a certain velocity.

The Lorentz force, in electromagnetism, is the effect of electric and magnetic forces which act on a point charge moving through electric and magnetic fields.

The Lorentz force can be found in scientific apparatus such as particle accelerators, mass spectrometers and magnetrons. More day-to-day equipment are electric motors, loudspeakers and electrical generators.