I doubt it. The first Pfizer shot made my arm sore, the second made me feel like I had been run over with a car.Yeah my arm felt a little weird for a couple days, but otherwise I was fine. One of my friends had a headache too, and one was completely out of it for a couple days.
My mum thinks it might be psychological to some extent. Like anyone we've known who's had shit they need doing just hasn't had issues.