if you are meaning a particle on its own, no other particle anywhere in the universe, then it would not according to the transactional interpretation of quantum theory, and Richard Feynman be able to emit any photons.
If however you are looking at a stationary charge and a charge (both of the same, positive say) that is moving towards the stationary object, it was easier for me to think about it in terms of fields(force fields as it were).
When the moving charge enters the field of the stationary charge, it causes a disturbance in this field, propagating as a photon which passes energy to the stationary charge.
And vice versa between the particles until both charges are out of range of the others field, the stationary charge is no longer stationary but has taken energy from the moving charge which is now moving at a slower rate on a different course.
http://en.wikipedia.org/wiki/Electromagnetic_field - the introduction here says a bit more
Hope this helps :D