Yes, pip2 or pip2.7 uses implicit python 2.7. but if you have installed python 3.* could be that pip python is linked to 3.* instead of 2.7. It’s a matter to check if not sure.
On my Seafile working end-system are following pip:
root@hiperborea ~ # pip [tab tab]
pip pip2 pip2.7
root@hiperborea ~ # pip2.7 -V
pip 9.0.1 from /usr/local/lib/python2.7/dist-packages (python 2.7)
root@hiperborea ~ # pip2 -V
pip 9.0.1 from /usr/local/lib/python2.7/dist-packages (python 2.7)
root@hiperborea ~ # pip2.7 -V
pip 9.0.1 from /usr/local/lib/python2.7/dist-packages (python 2.7)
Edit: and all of them linked to python 2.7