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.
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.
The phobia name for the fear of monkeys is Cynophobia.
The phobia name for the fear of the unknown is called Xenophobia.
Mnemophobia is the name of the phobia related to the fear of memories
Carnophobia is the name of the phobia related to the fear of meat
Hylephobia is the name of the phobia related to the fear of materialism
Gamophobia is the name of the phobia related to the fear of marriage
Mechanophobia is the name of the phobia related to the fear of machines
Melophobia is the name of the phobia related to the fear of music.
Selenophobia is the name of the phobia relating to the fear of the moon
Ballistophobia is the name of the phobia related to the fear of missiles