  We study the viability of spontaneous breaking of continuous symmetries in
theories with Lifshitz scaling, according to the number of space-time
dimensions $d$ and the dynamical scaling $z$. Then, the answer to the question
in the title is no (quantum field theoretically) and yes (holographically).
With field theory tools, we show that symmetry breaking is indeed prevented by
large quantum fluctuations when $d\leq z+1$, as expected from scaling
arguments. With holographic tools, on the other hand, we find nothing that
prevents the existence of a vacuum expectation value. This difference is made
possible by the large $N$ limit of holography. An important subtlety in this
last framework is that in order to get a proper description of a conserved
current, renormalization of the temporal mode of the bulk vector requires an
alternative quantization. We also comment on the implications of turning on
temperature.
