The Prophet ﷺ forbade anyone from using his kunya as their own.
حدثنا روح حدثنا ابن جريج أخبرني عبد الكريم بن مالك أن عبيد الله بن عبد الرحمن بن أبي عمرة أخبره عن عمه
أن النبي ﷺ نهى أن يكنى بكنيته
No references are available.
Its isnad is sahih. See 9825. Abdullah bin Abdul-Rahman bin Abu Amra is Abdullah bin Abdullah bin Abdul-Rahman bin Abu Amra, and his uncle Abdul-Rahman bin Amr, both are trustworthy.