NO!
Datum symbols may NOT be applied to center lines, center planes, or axes.
ASME and ANSI explicitly state this rule.
References:
ASME Y14.5-2009, para. 4.8.2 (page 57)
ANSI Y14.5M-1994, para 4.3.2 (page 52)
When measuring parts a datum is established from a physical feature not an imaginary center line. A physical feature must be identified as the datum to establish a physical datum origin.