The rotation-powered pulsar PSR J1846 - 0258 in the supernova remnant Kes 75 was recently shown to have exhibited magnetar-like X-ray bursts in mid-2006 . Radio emission has not yet been observed from this source , but other magnetar-like sources have exhibited transient radio emission following X-ray bursts . We report on a deep 1.9 ~ { } \textrm { GHz } radio observation of PSR J1846 - 0258 with the 100-m Green Bank Telescope in late 2007 designed to search for radio pulsations or bursts from this target . We have also analyzed three shorter serendipitous 1.4 ~ { } \textrm { GHz } radio observations of the source taken with the 64-m Parkes telescope during the 2006 bursting period . We detected no radio emission from PSR J1846 - 0258 in either the Green Bank or Parkes datasets . We place an upper limit of 4.9 ~ { } \mu \textrm { Jy } on coherent pulsed emission from PSR J1846 - 0258 based on the 2007 November 2 observation , and an upper limit of 27 ~ { } \mu \textrm { Jy } around the time of the X-ray bursts . Serendipitously , we observed radio pulses from the nearby RRAT J1846 - 02 , and place a 3 \sigma confidence level upper limit on its period derivative of 1.7 \times 10 ^ { -13 } , implying its surface dipole magnetic field is less than 2.6 \times 10 ^ { 13 } ~ { } \textrm { G } .