Is it common for a person with a red painful eye resulting from an accident to have a blurred vision?

No: This needs attention to preserve vision. See your eye doc asap. Blurriness and pain in the eye following trauma are warning signs of potentially serious injury.

Commonly: When an eye is struck there is a considerable transfer of energy to the inside of the eye which can cause visual blur from swelling, inflammation, bleeding and disruption. This calls for a visit to an ophthalmologist in short order.