I had Botox and three hours after coughed very hard. Could this make my Botox move?

No, coughing will not affect the placement of Botox. I hope you enjoy the results of your treatment.

Botox should not be affected by coughing in any way.  Potentially, excessive pressure or vigorous massage of the area immediately after could cause the fluid to diffuse slightly from the area it was injected.  Diffusion and ill effects from botox injections are more likely related to dosages, placement and dilution.

This should not cause your Botox to move.  Botox is injected into the muscle.  Things that can typically cause Botox to migrate are increase blood flow to the face or pressure applied to the face.  That is why it is advised not to exercise or get a facial or massage after the injection.  Typically we recommend not to exercise for 24 hours, and not to get a facial or massage for one week after injection.