Negative.
Just this month the 5th Circuit has said deportations of DAPA Illegals can continue. Very important because this group must have either a US born or legal perm resident child to qualify. In other words, an anchor baby does not grant any special privilege so a standard issue Illegal can be shipped out at will.
A case that is still not done. When Trump tries to round up illegals, every leftist shark tank from the ACLU to SPLC to MALDEF will tie up the process with "due process" suits.
The correct solution is for Congress to take jurisdiction over all aliens away from the Federal courts and set up an administrative system with which to confirm citizenship or its lack prior to initiating the deportation process.