Simple install any version of pypy

install_pypy.sh

# This is the name of archive taken from https://downloads.python.org/pypy/
PYPY_VER="pypy3.9-v7.3.11-linux64"
PYPY_VER_NUM=`echo ${PYPY_VER} | grep -oP "v(\d\.?)+" | sed -r 's/[v.]//g'`
cd ~
mkdir pypy
wget https://downloads.python.org/pypy/$PYPY_VER.tar.bz2 && tar -xvjf $PYPY_VER.tar.bz2
rm $PYPY_VER.tar.bz2
mv $PYPY_VER pypy/

sudo ln -s ~/pypy/$PYPY_VER/bin/pypy3 /usr/bin/pypy3-$PYPY_VER_NUM; chmod +x /usr/bin/pypy3-$PYPY_VER_NUM

# In this example, the resulting binary has this form: pypy3-732,
# which is a symlink to /home/username/pypy/pypy3.6-v7.3.2-linux64/bin/pypy3
# You can then create venv with specified pypy version using this:
# $ pypy3-732 -m venv /home/username/envs/some-pypy732-venv-name