This *might* work
1) Create NEW folder to contain the executable
mkdir /storage/bin
2) Add this to $PATH
nano /storage/.profile
PATH=$HOME/bin:$PATH
3) Install docker from the LE addons (May not be needed)
4) Download Docker compose (All one line)
curl -L "https://github.com/docker/compose/releases/download/1.23.1/docker-compose-$(uname -s)-$(uname -m)" -o /storage/bin/docker-compose
5) Make it executable
chmod +x /storage/bin/docker-compose
6) Check to see it works
cd /storage/bin
./docker-compose --version
7) If it all works reboot.
---------------------------------------------------------------------------------------
If all else fails as @aptalca mentioned pull a docker container like this