  We report Quantum Monte Carlo calculations of weak transitions in $A\leq 10$
nuclei, based on the Norfolk two- and three-nucleon chiral interactions, and
associated one- and two-body axial currents. We find that the contribution from
two-body currents is at the $2$ - $3\%$ level, with the exception of matrix
elements entering the rates of $^8$Li, $^8$B, and $^8$He beta decays. These
matrix elements are suppressed in impulse approximation based on the (leading
order) Gamow Teller transition operator alone; two-body currents provide a $20$
- $30\%$ correction, which is, however, insufficient to bring theory in
agreement with experimental data. For the other transitions, the agreement with
the data is satisfactory, and the results exhibit a negligible to mild model
dependence when different combinations of Norfolk interactions are utilized to
construct the nuclear wave functions. We report a complete study of two-body
weak transition densities which reveals the expected universal behavior of
two-body currents at short distances throughout the range of $A\,$=$\,3$ to
$A\,$=$\,10$ systems considered here.
