No. Not directly.
The generator has a neutral floating design. The stator winding is isolated from the frame and the AC receptacle ground pin. Connecting it directly to a building's electrical system can cause severe damage and risk of electrocution.
Proper connection requires an isolation switch (a transfer switch) to be installed by a qualified electrician. This separates your home's wiring from the utility grid. Never backfeed power through a household outlet.
Use the ground terminal on the generator frame, but consult a qualified electrician or local electrical codes for proper grounding procedures for your specific installation.