Yes, some models of the B777 (at least) will sound a warning if no controls have been moved/activated for 15 minutes: "CREW ALERTNESS MONITOR The FMC continuo

Yes, some models of the B777 (at least) will sound a warning if no controls have been moved/activated for 15 minutes: "CREW ALERTNESS MONITOR The FMC continuously monitors the activation of switches on the mode control panel, EFIS control panel, display select panel, CDUs, and VHF/HF push-to-talk (PTT) switches. When a predefined time elapses after the last control activation, the EICAS advisory message PILOT RESPONSE is generated. The PILOT RESPONSE message can be cleared by pushing any control on any of the monitored systems or panels. If there is still no response after a short time, the EICAS caution message PILOT RESPONSE is displayed. If there is still no response, the warning message PILOT RESPONSE is displayed. Any control activation on the MCP, EFIS control panel, display select panel, CDUs, or VHF/HF transmitters resets the PILOT RESPONSE message. The PILOT RESPONSE message is inhibited at all altitudes below 20,000 feet while the aircraft is in a climb and the flaps are not up."