No. Do not use a cracked carafe. Discard it immediately.
A cracked carafe, or one with a loose or weakened handle, can fail when holding hot liquid, causing serious burn injuries. This carafe is designed only for this specific coffee maker's warming plate. Do not attempt to use it on a stovetop, in a microwave, or as a general pitcher.
You must use only the carafe provided with the appliance. Using a non-original or damaged carafe voids safety protections. Replace it through Hamilton Beach customer service.