Definitely, but the anki folder takes up about 5.87 GB 
of storage space on my system (Windows 10).
It seems to be possible to run Anki without rust by copying ankirspy.cp38-*.pyd from the Anki build to pyenv\Lib\site-packages\ankirspy.cp38-*.pyd and replacing DEVEL := rslib rspy pylib ts qt with DEVEL := pylib ts qt in Makefile. With this step the anki folder got reduced to 763 MB.
A quick proof-of-concept.
git clone https://github.com/dae/anki
cd anki
$version = git describe --abbrev=0
git checkout $version
make pyenv
$ankirspy = "ankirspy.cp38-win_amd64.pyd"
curl -LJO https://github.com/ankitects/anki/releases/download/$version/anki-$version-windows.exe
& "C:\Program Files (x86)\7-Zip\7z" e anki-$version-windows.exe -y -opyenv\Lib\site-packages $ankirspy > $null
sed -i "s/DEVEL := rslib rspy pylib ts qt/DEVEL := pylib ts qt/" Makefile
make run