Multiple physics studies confirm that massless particles, such as photons, carry momentum and exert observable forces (radiation pressure) when interacting with matter.
The claim states that massless particles can exert a force. Papers [1], [2], [3], and [8] directly deal with photon momentum, radiation pressure, optical forces, and momentum transfer mediated by electromagnetic fields (photons being massless particles). All of these sources support the assertion that massless particles exert forces. There are no refuting papers.