  We use the Canadian Hydrogen Intensity Mapping Experiment (CHIME) Fast Radio
Burst (FRB) Project to search for FRBs that are temporally and spatially
coincident with gamma-ray bursts (GRBs) occurring between 2018 July 7 and 2023
August 3. We do not find any temporal (within 1 week) and spatial (within
overlapping 3 sigma localization regions) coincidences between any CHIME/FRB
candidates and all GRBs with 1 sigma localization uncertainties <1 deg. As
such, we use CHIME/FRB to constrain the possible FRB-like radio emission for 27
short gamma-ray bursts (SGRBs) that were within 17 deg. of CHIME/FRB's meridian
at a point either 6 hrs prior up to 12 hrs after the high-energy emission. Two
SGRBs, GRB 210909A and GRB 230208A, were above the horizon at CHIME at the time
of their high-energy emission and we place some of the first constraints on
simultaneous FRB-like radio emission from SGRBs. While neither of these two
SGRBs have known redshifts, we construct a redshift range for each GRB based on
their high-energy fluence and a derived SGRB energy distribution. For GRB
210909A, this redshift range corresponds to z = [0.009, 1.64] with a mean of
z=0.13. Thus, for GRB 210909A, we constrain the radio luminosity at the time of
the high-energy emission to L <2 x 10e46 erg s-1, L < 5 x 10e44 erg s-1, and L
< 3 x 10e42 erg s-1 assuming redshifts of z=0.85, z=0.16, and z=0.013,
respectively. We compare these constraints with the predicted simultaneous
radio luminosities from different compact object merger models.
