  There is ongoing interest in the nonmetricity formulation of gravity. The
nonlinear extension of the theory, called $f(Q)$ gravity, has recently been
proposed and offers a promising avenue for addressing some of the long-standing
challenges in cosmology and fundamental physics. A number of solutions have
already been found that have confirmed the usefulness of the theory for
astrophysics and cosmology. Motivated by earlier work on G\"odel-type
spacetimes, we investigate whether $f(Q)$ gravity admits cosmological solutions
that violate causality. We find that G\"odel-type metrics do not appear to be
compatible with this modified gravity theory unless it reduces to the trivial
case of symmetric teleparallel gravity, corresponding to $f(Q)=AQ+B$, which is
equivalent to general relativity. For $f(Q)$ more general than linear, the
theory seems endowed with some chronology protection mechanism that shields it
from G\"odel-like causality violations.
