The azimuthal anisotropy of $\mathrm{\Upsilon(1S)}$ mesons in high-multiplicity pPb collisions is studied using data collected by the CMS experiment at a nucleon-nucleon center-of-mass energy of 8.16 TeV. The $\mathrm{\Upsilon(1S)}$ mesons are reconstructed using the dimuon decay channel. The anisotropy, characterized by the second Fourier harmonic coefficient $v_2^{\mathrm{sub}}$, is determined using the two-particle correlation technique, in which the $\mathrm{\Upsilon(1S)}$ mesons are correlated with charged hadrons. A large psuedorapidity gap is used to suppress short-range correlations. The $v_2^{\mathrm{sub}}$ values are measured in four transverse momentum intervals in the range from 0 - 30 GeV/c. No azimuthal anisotropy is observed for the $\mathrm{\Upsilon(1S)}$ mesons in high-multiplicity pPb collisions, which is consistent with previous PbPb collision results. The results suggest that any collectivity on bottomonia is smaller than that of charmonia in pPb collisions.