  The processes $e^{+}e^{-} \to \Delta^{++}\bar{\Delta}^{--}$ and
$e^{+}e^{-}\to \Delta^{++} \bar{p} \pi^{-} + c.c.$ are studied for the first
time with $179~{\rm pb}^{-1}$ of $e^{+}e^{-}$ annihilation data collected with
the BESIII detector at center-of-mass energies from $2.3094$ GeV to $2.6464$
GeV. No significant signal for the $e^{+}e^{-}\to \Delta^{++}\bar{\Delta}^{--}$
process is observed and the upper limit of the Born cross section is estimated
at each energy point. For the process $e^{+}e^{-} \to \Delta^{++} \bar{p}
\pi^{-} + c.c.$, a significant signal is observed at center-of-mass energies
near 2.6454 GeV and the corresponding Born cross section is reported.
