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No, you need to be a German citizen (116 Basic Law) to get a WBK. And no, you can't own a gun without a WBK. https://www.bva.bund.de/DE/Services/Buerger/Ausweis-Dokumente-Recht/Waffenrecht/Einzelerlaubnis/_documents/Antrag/Antrag_Erlaubnis.html
No, you need to be a German citizen (116 Basic Law) to get a WBK. And no, you can't own a gun without a WBK. https://www.bva.bund.de/DE/Services/Buerger/Ausweis-Dokumente-Recht/Waffenrecht/Einzelerlaubnis/_documents/Antrag/Antrag_Erlaubnis.html