Yes. For example, suppose a particle has mass $$m$$ and electric charge $$q$$. Then the force on it due to gravity $$g$$ will be $$mg$$ and the force due to an applied electric field $$E$$ will be $$Eq$$. The acceleration of the particle will then, assuming the electric and gravitational fields are the in the same direction, which they often are not:
$$a = g + \frac{Eq/m}$$
The difference is only in acceleration but it is still following F=ma principle. Consider fan. It can be rotated by Lorentz Force. The fan also can be rotated by a mechanical force. Consider gravitational force also as a mechanical force. So, the effect of Lorentz Force or mechanical force(gravity) on a fan remains same. Electricity also can be generated from Gravity; as is done in Hydel Power Projects.
It is experimentally observed that we can alter $$q$$ and $$m$$ completely independently and therefore observe different accelerations under different conditions.
That is OK.
On the other hand, if it were really the case that gravity is a form of electromagnetism, then presumably we'd have $$m=q$$ and the acceleration would always be the same.
I am not saying $$m=q$$. But my speculation is that, $$m$$ can be co-related with the spin of a particle. ie more the spin, more the mass.