Yes. Many are afraid for the fear of choking and the strange way it feels to swallow a pill. Often it triggers the gag reflex because it has not been chewed. If your fear is really overpowering, there are chewable vitamins that resemble gummy bears or candy.
Pharmacophobia is the fear of medicine but I'm not sure about the actual fear of the act of swallowing pills , But i have it myself :P
You can have a phobia about anything. If mean is there a name for a phobia of pills then that would come under Pharmacophobia or a fear of medicines.
There is no official phobia name for the fear of vipers. However the official phobia name for the fear of snakes is ophidiophobia.
There is no name for fear of olives, but lachanophobia is the fear of vegetables.
Hylephobia is the name of the phobia related to the fear of materialism
Ballistophobia is the name of the phobia related to the fear of missiles
Limnophobia is the name of the phobia associated with the fear of lakes
Traumatophobia is the name of the phobia relating to the fear of injury
Ideophobia is the name of the phobia relating to the fear of ideas
Patroiophobia is the name of the phobia relating to the fear of heredity
Phasmophobia is the name of the phobia relating to the fear of ghosts
Genuphobia is the name of the phobia relating to the fear of knees
Geliophobia is the name of the phobia associated with the fear of laughter