The answer is sort of. :-)  If the file is a an mmCIF file from the PDB, then the chirality information will be present in the file.  If you selected atoms of interest, then running this Python code would print the chirality information in the log:

from chimerax.atomic import selected_atoms
for a in selected_atoms(session):
    print(a, a.residue.ideal_chirality(a.name))

For convenience, I have put the above code into the attached file, which if you put the file in your home folder you could then run with "open ~/chirality.py".