In short: No. In-game overlay does not display the information in the manner shown by the streaming overlay. The in-game overlay only includes the audio call outs, achievements that were obtained and current killstreaks (and if chain kills were involved). You can, however, access the stat information by pressing and holding the '~' (tilde) key.

Just be sure to have RTST running + In-game overlay prior to running Planetside 2.

Be sure to also check that your Stats Hot Key (Set as Oemtilde by default) is enabled in your Options > Configure.

Hope this answered your concern. Cheers!