Absolutely not!
Datum symbols may NOT be applied to center lines, center planes, or axes.
References:
ASME Y14.5-2009, para. 4.8.2 (page 57)
ANSI Y14.5M-1994, para 4.3.2 (page 52)
It is likely that the drawing standard of the drawing you attached is ANSI 14.5M-1982 or earlier.
ANSI Y14.5-1982, para. 4.2.2 (page 36).
Let me know if the drawing standard is ISO 1101 or one of the derivatives.