I'm sorry to say that a '93 rear bumper will not fit the '96 rear Camry bumper.
The 1993 Toyota Camry is the 3rd generation of Camry's.
The 1996 Toyota Camry is the 4th generation of Camry's.
They will have different size specs and will not fit appropriately.
A new bumper cover will run about $200 bucks and then to get it painted may be another $150.
Keep checking local junkyards or even craigslist.com. Someone may be "parting out" a Toyota Camry.
Good luck!