Yes. The Sun and Moon each subtend about 0.5° in the sky, which is about 0.009 radians. For distant subjects, the image size on the sensor is approximately:

image size ≈ focal length × 0.009

A handy rule of thumb is:

image size ≈ f / 110

where f is the focal length in mm, and the result is the diameter of the Sun or Moon on the sensor in mm.

Examples:

• 400mm lens → about 3.6mm image diameter
• 800mm lens → about 7.3mm
• 1760mm lens → about 16mm
• 2640mm lens → about 24mm

That means:

• On a typical APS-C sensor (~16mm tall, or ~15mm on Canon), about 1760mm fills the frame vertically.
• On full frame (24mm tall), about 2640mm fills the frame vertically.

So sensor crop does not change the Moon’s image size on the sensor for a given focal length; it only changes how much of the sensor area is captured, making the Moon appear larger relative to the frame.