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Yes, you should be able to use that size of chessboard with the camera calibrator by passing the --size 5x5 --square 0.054 command line options. (5x5 because the number of crosses is one less than the number of squares)

The resulting calibration will probably be decent if each square of the chessboard appears much larger than your camera's pixel size in most of the calibration images. The checkerboard should probably fill 10-100% of the camera's field of view while calibrating.