Can having a DPT shot make you sick enough to need antibiotics?

My girlfriend’s friend wanted to visit a new baby in the family but the new mother said anyone wishing to see her had to have a DPT shot first. So she got one and the next day she became sick. She went to the doctor and he put her on antibiotics.
Can a DPT shot make an adult sick or was it a coincidence? She actually called it a “whooping cough” shot.