Yes, a hardwired Ground Fault Circuit Interrupter (GFCI) can be used outdoors, provided it is designed and rated for outdoor use. When installing a GFCI outdoors, it is crucial to ensure that the device is weather-resistant and has an appropriate enclosure to protect it from environmental elements such as rain, snow, and dust. 
Outdoor GFCIs should be installed in weatherproof or weather-resistant electrical boxes and covered with a weatherproof cover. These covers are often labeled as "in-use" or "while-in-use" covers, which allow the GFCI to remain protected even when a plug is inserted. The National Electrical Code (NEC) requires that outdoor receptacles, including GFCIs, be installed in such a manner to ensure safety and functionality.
Additionally, the GFCI should have a National Electrical Manufacturers Association (NEMA) rating suitable for outdoor conditions, such as NEMA 3R or higher, which indicates resistance to rain and ice formation. It is also important to ensure that the GFCI is installed according to the manufacturer's instructions and local electrical codes.
Regular testing of the GFCI is recommended to ensure it is functioning correctly. This can be done by pressing the "Test" button on the device, which should cause the "Reset" button to pop out, cutting off power to the outlet. Pressing the "Reset" button should restore power, confirming the GFCI is operational.
In summary, while a hardwired GFCI can be used outdoors, it must be specifically designed for outdoor use, properly installed, and regularly tested to ensure safety and compliance with electrical standards.