No, you don't typically press the rear wheel bearings on and off a 1995 Lincoln Mark VIII. The rear wheel bearings on that car are usually integrated into the rear hubs, which are themselves a single unit. You replace the entire hub assembly, not just the bearings themselves. You'll need to remove the hub and axle assembly as one piece.
Trying to press bearings out of these types of integrated hubs is usually very difficult, if not impossible, without specialized tools and significant risk of damage. It's far simpler and safer to just replace the entire hub assembly.