  The bright $(V=3.86)$ star $\beta$ Pictoris is a nearby young star with a
debris disk and gas giant exoplanet, $\beta$ Pictoris b, in a multi-decade
orbit around it. Both the planet's orbit and disk are almost edge-on to our
line of sight. We carry out a search for any transiting planets in the $\beta$
Pictoris system with orbits of less than 30 days that are coplanar with the
planet $\beta$ Pictoris b. We search for a planetary transit using data from
the BRITE-Constellation nanosatellite BRITE-Heweliusz, analyzing the photometry
using the Box-Fitting Least Squares Algorithm (BLS). The sensitivity of the
method is verified by injection of artificial planetary transit signals using
the Bad-Ass Transit Model cAlculatioN (BATMAN) code. No planet was found in the
BRITE-Constellation data set. We rule out planets larger than 0.6
$\mathrm{R_J}$ for periods of less than 5 days, larger than 0.75 $\mathrm{R_J}$
for periods of less than 10 days, and larger than 1.05 $\mathrm{R_J}$ for
periods of less than 20 days.
