Is there a Georgia website for accessing court records?
The closest option is a portal for e-filing in state courts, although it doesn't include the Superior courts, which handle the majority of criminal cases.

Is it possible to view past arrests in Georgia for free online?
According to the disclaimer on services like Been Verified, which collect public records without verifying those with the same name, it is...

Georgia's Open Records
The Georgia Open Records law allows the public to view, inspect, and copy all "public records." Explore Georgia Open Records. Facilities and Businesses >>.