  We introduce the OSIRIS Lens-Amplified Survey (OLAS), a kinematic survey of
gravitationally lensed galaxies at cosmic noon taken with Keck adaptive optics.
In this paper we present spatially resolved spectroscopy and nebular emission
kinematic maps for 17 star forming galaxies with stellar masses 8 <
log($M_*$/$M_{\odot}$) < 9.8 and redshifts 1.2 < z < 2.3. OLAS is designed to
probe the stellar mass ($M_*$) and specific star formation rate (sSFR) range
where simulations suggest that stellar feedback is most effective at driving
gaseous outflows that create galaxy-wide potential fluctuations which can
generate dark matter cores. We compare our kinematic data with the trend
between sSFR, $M_*$ and H$\alpha$ velocity dispersion, $\sigma$, from the
Feedback In Realistic Environments (FIRE) simulations. Our observations reveal
a correlation between sSFR and sigma at fixed $M_*$ that is similar to the
trend predicted by simulations: feedback from star formation drives
star-forming gas and newly formed stars into more dispersion dominated orbits.
The observed magnitude of this effect is in good agreement with the FIRE
simulations, in which feedback alters the central density profiles of low mass
galaxies, converting dark matter cusps into cores over time. Our data support
the scenario that stellar feedback drives gaseous outflows and potential
fluctuations, which in turn drive dark matter core formation in dwarf galaxies.
