No. As [some] others have pointed out, ¨solid state¨ as generally applied to electronic equipment
means it contains no thermionic devices. I recall it first popularized as a selling feature in the adverts of equipment such as home stereo amplifiers and ham radio transmitters—¨All Solid State¨ they proclaimed—where the final amplifier stages had until that time stubbornly held to thermionic valves.
¨Solid state¨ is not contingent upon an absence of moving mechanical parts. Just as it is not related to an absence of liquid coolants or gel thermal pastes, etc.