No it is not possible beacuse
In the case of a hydrogen atom, you have a proton and an electron with opposite charge. Like the Sun and a planet they both exert an equal force on one another. (This is not because they have equal charge, although in fact they do.) However, the proton moves much less, since it has more inertia because its mass is about 1800 times greater.
So protons cannot revolve thus leading to its instability