All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
Performing Friday prayer twice in the same mosque is not permissible. If one does not find any space, he has to go to another mosque if it is possible; otherwise, he should pray beside the mosque in the connected rows.
Performing Friday prayer twice in the same mosque is not proved from the Prophet nor from his companions or other Muslim scholars.
For more benefit on the conditions for Friday prayer, please refer to Fataawa 82835, 82979, 356992, 117037, and 257203.
Allah knows best.