My ancestor Vilmos Schwarcz (AKA Schwartz, Schwarz) was born around 18 December 1892 in then-Hungary - present-day Slovakia. His US documents all list his birth town as Gesce/Hernadgesce (Geča today).
His family was Jewish. I have found birth records for his siblings available in a database online in JewishGen.org (see attachment). These are records from the Slovak State Archive Kosice - Birth Register. I wrote to the archive to ask to search for a record for Vilmos's birth record in any of the cities mentioned in the attachment for siblings as well as Geča, but the search was negative. I understand his birth was before the civil registration began in 1895.
Is there any way to find a birth or census record for my ancestor? He left the area in 1907 to immigrate to the US. If there is no chance to find a birth or census record, would any other records potentially exist from Hungary/Slovakia considering he left for the US around the age of 15?