No, because it would require very high temperature. The air coming out of the compressor of a gas turbine would already be hotter than the water/steam coming out of a LWR. It would likely involve a core temperature of around 1000 C. The turbine inlet temperature of a modern jet engine is at least 1500 C. There would likely be thermal NOx production, so post treatment of the gas might be necessary in an open cycle system.

Westinghouse plans to with their eVinci reactor. It will use an open-air Brayton cycle: https://www.nrc.gov/docs/ML2409/ML24092A122.pdf