  Using a data sample of $e^+e^-$ collision data corresponding to an integrated
luminosity of 19 fb$^{-1}$ collected with the BESIII detector at the BEPCII
collider, we search for the production of deuterons and antideuterons via
$e^+e^-\to pp\pi^-\bar{d}+c.c.$ for the first time at center-of-mass energies
between 4.13 and 4.70 GeV. No significant signal is observed and the upper
limit of the $e^+e^-\to pp\pi^-\bar{d}+c.c.$ cross section is determined to be
from 9.0 to 145 fb depending on the center-of-mass energy at the $90\%$
confidence level.
