There is some limited empirical evidence to support the hypothesis, yes.

For example:

Through state-of-the-art spectroscopic techniques, specifically two-dimensional electronic spectroscopy (2DES), we’ve detected quantum coherent processes in the microtubules within neural structures. This provides empirical support to our hypothesis about the role of quantum mechanisms in cognition. Furthermore, we provide substantial empirical evidence for quantum mechanisms underlying cognitive processes, including decision-making and memory recall, and present a quantum model of consciousness.

https://www.researchgate.net/publication/374724769_Quantum_Consciousness_Empirical_Evidence_for_Quantum_Mechanisms_in_Human_Cognition_and_Consciousness

https://www.frontiersin.org/journals/human-neuroscience/articles/10.3389/fnhum.2025.1676585/full