Yes — this can be normal. Auto White Balance is only the camera’s best guess about the color of the light in the scene, and sometimes that guess is wrong.

White balance tries to make objects that should look neutral (white or gray) appear neutral in the final image. In your example, the camera may be using the light fur and white concrete areas as its reference and adjusting the whole image around those tones. If the camera misidentifies the lighting conditions, the result can shift blue.

This is more likely in mixed or unusual lighting, or when the scene doesn’t give the camera enough reliable neutral reference points. AWB is independent of manual exposure mode — changing shutter speed/aperture doesn’t stop the camera from still making an automatic white-balance decision.

If the blue cast is a problem, try using a preset white balance (daylight, shade, tungsten, etc.) or a custom white balance instead of AWB.