Antiskyrmions, like skyrmions, are topologically protected magnetic quasiparticles, but exhibit greater stability and no transverse motion compared to skyrmions. This study employs $a\phantom{\rule{0}{0ex}}b$ $i\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}o$ calculations to investigate the polar layer stacking of two monolayers of a two-dimensional magnetic material CrI${}_{3}$, which can lead to the emergence of antiskyrmions. Atomistic spin dynamics simulations demonstrate the realization of antiskyrmions in Mn-doped CrI${}_{3}$ and shows that their spin texture can be switched by ferroelectric polarization of the polar bilayer.