Hi Andre,
Sorry for the late response, I just come back from the AGU meeting. Regards to your question, no, the current PySAR is for SBAS algorithms only, which usually have lower spatial resolution than PSInSAR algorithms. Sara Mirzaee in our group in Miami is developing a SqueeSAR-like code in python and will open it in the future. I don't have an exact timeline for it.
Except for StaMPS, I am not aware of other open-source code for PSInSAR. Here is a summary of SAR/InSAR code available in the community:
Yunjun