yes, it is possible. since the objective of ctb via firearm is destroying the brain stem (
guns megathread, "The happy place is the Medulla Oblongata... aka the brain stem"), then paraylsis is relatively likely if you survived. the pons is located there, and functions as a bridge between your cerebrum and cerebellum, alongside other critical structures like the aforementioned medulla oblongata and the midbrain (
source). this means any damage to this region can impact a variety of things, such as motor control, sensory processing, sleep, etc. not at all an attempt at fearmongering, as a well aimed shot is likely fatal, just rather disasterous if not.