Are there bacterial infections that can cause rigid paralysis?

Yes,meningitis: If somebody get bacterior infection in the covering of the brain, they could endup with what looks like a stroke--like a rigid paralysis--i assume you are talking on side of the body--also infection in spine or joints can paralyse a limb by differend mechanism, rigid or not.

Rigid paralysis: Bacterial infections of the brain and spinal cord can cause rigid paralysis by damaging the motor fibers in the brain or the motor pathways in the spinal cord before they form nerves going to the muscles, called an upper motor neuron damage. Damage to the nerves after they leave the spinal cord usually cause flaccid paralysis.