Yes, it is possible. Basically all you need is a device capable of running Termux with enough memory to build everything.

The following instructions have been tested with Termux version 0.118.0 on e/OS/ R development build on a Samsung Galaxy S10e (e-1.0-r-20220526188878-dev-beyond0lte). Presumably, they should work also on stock Android as well, but who in their right mind would run all the spyware by Google & al.?

Physical keyboard or remote access is strongly recommended. :D

Get Termux

Just install the Termux app from F-Droid or Github as per instructions.

Open Termux; the following steps of these instructions are basically just commands you need to type in Termux.

Install prerequisities from termux repositories

pkg install python3 cmake git clang build-essential binutils

Build and install GSL

curl -O https://www.nic.funet.fi/pub/gnu/ftp.gnu.org/pub/gnu/gsl/gsl-latest.tar.gz
tar xf gsl-latest.tar.gz
cd gsl-2.7.1
./configure --prefix=$PREFIX
make    # add -j4 or so to make it faster on multicore systems
make install
cd -

Build and install OpenBLAS

git clone https://github.com/xianyi/OpenBLAS.git
cd OpenBLAS
make
make PREFIX=$PREFIX install
cd -

Workaround for "broken" setup.py script

The goal is to fix setup.py so that it finds the correct libraries automatically, but in the meantime, you can use this workaround to get the Python part of QPMS installed:

ln -s $PREFIX/lib/libopenblas.so $PREFIX/LIB/liblapacke.so

Build and install Numpy

(Successful build requires the MATHLIB environmental variable set, otherwise linking will fail; see https://wiki.termux.com/wiki/Python.)

MATHLIB=m pip3 install numpy

Install Sympy

pip3 install sympy

Build and install QPMS

git clone https://repo.or.cz/qpms.git
cd qpms
cmake -DCMAKE_INSTALL_PREFIX=$PREFIX . # ugly, TODO make a separate build tree!
make install
 
python3 setup.py install

Hopefully, QPMS has installed successfully. At this point, you should be able to import and use QPMS with some exceptions. First, there is some legacy code in the qpms.qpms_p module (which is no longer imported automatically with bare import qpms). You shouldn't need this unless you are trying to run some historic Jupyter notebooks or other old custom scripts. It contains a scipy dependence, and scipy is hard to get working in Android environment (as it requires a Fortran compiler to build).

Install matplotlib

If you try to run just pip3 install matplotlib in Termux, it might likely fail when installing the pillow dependency. First, according to Termux wiki, pillow depends on libpng and libjpeg-turbo, which are fortunately available in Termux packages. Second, pillow instalation requires an additional environment variable LDFLAGS="-L/system/lib64" to be set on 64-bit devices.

Hence:

pkg install libpng libjpeg-turbo
export LDFLAGS="-L/system/lib64" # on 64-bit devices
pip3 install matplotlib

After this step, you should be able to run the command-line scripts from misc/ directory and examples from examples/ directory.