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Have you tried to get in contact with the Polish embassy yet? If there is someone that can give you legally binding information concerning this topic it’s them.
They only piece of information that I could find in this regard is from the website of the Polish embassy in Tel Aviv:
“Only Polish citizens have a right to get married by a Polish Consul. Both women and men have to possess valid Polish passports.”
But I don’t know in how far that is the general policy of Polish authorities or if it is just a special ruling for Israel. I can tell you that it’s not possible for German citizens to get married at a German embassy abroad in general - so there might be a similar rule for Polish institutions. Anyway, I’d recommend you to get in touch with the Polish embassy to find out.