  In quantum mechanics, the observer necessarily plays an active role in the
dynamics of the system, making it difficult to probe a system without
disturbing it. Here, we leverage this apparent difficulty as a tool for driving
an initially trivial system into a chiral phase. In particular, we show that by
utilizing a pattern of repeated occupation measurements we can produce chiral
edge transport of fermions hopping on a Lieb lattice. The procedure is similar
in spirit to the use of periodic driving to induce chiral edge transport in
Floquet topological insulators, while also exhibiting novel phenomena due to
the non-unitary nature of the quantum measurements. We study in detail the
dependence of the procedure on measurement frequency, showing that in the Zeno
limit the system can be described by a classical stochastic dynamics, yielding
protected transport. As the frequency of measurements is reduced, the charge
flow is reduced and vanishes when no measurements are done.
