Late reply here, but no. The reason there's no non-beta PyPy3 on a later version than 3.2 is that there's not enough demand for it (or no one willing to donate

Late reply here, but no. The reason there's no non-beta PyPy3 on a later version than 3.2 is that there's not enough demand for it (or no one willing to donate large enough sums of money for it to make it the primary focus). Industry players who want to remove the Python CPU bottleneck and willing to stick with Python rather than moving on to Go or JS on Node, are donating to the 2.7 based PyPy4.