Can atropine drops correct an eye that has peripheral vision loss from a hemispherectomy?

Not really: Atropine dilates the pupil, allowing more light into the eye and also increasing the width of the field of vision. Someone who has lost half of their visual field could certainly see more of the remaining field if their pupil is dilated, but only to a small degree, and with increased negative effects such as decreased near vision and increased light sensitivity and possible hallucinations.

Not really: Remember that the visual loss does not originate in the eye ( think of a normal video camera as the eye) but in the brain ( think of a bad video cable sending only half the message). Opening up the lens aperture wider does not send an image through the defective portion of the cable.