No. It depends on too many variables in the motor design. You can ESTIMATE it at around 30% of FLA, but in reality that could be anywhere from 20-40% and in small motors, often 60%.
In my opinion the only value in knowing the no-load current is purely empirical, for monitoring it over time for changes in order to trend and predict problems, or to determine if a belt or shaft has broken. So install it. measure it immediately and record that value for future reference. Any other use is essentially pointless.