Mechanical pressure can maintain a good electrical contact between two surfaces. A "wiping" action with applied between two conductors creates a "wet contact" which has a region between the conductors that excludes oxygen and prevents oxidation. This is the basis of connectors, for example, which use crimps or friction to join each other. Alternatively, pressure from a fastener such as a screw can apply the force.
However, dissimilar metals eventually can have galvanic corrosion between them despite the initial wet contact being made with pressure. For example, copper in contact with aluminum is notorious for aluminum oxidation at the interface. A plating may need to be applied to the copper first, for example zinc or tin, so that the actual surfaces in contact have a smaller electrode potential difference. In addition, some oxides such as tin oxide, or zinc tin oxide, are partially conductive, so that some conductivity is maintained even after an oxide is formed between the metals.
Rather than using fingers, if you are using external coax connectors, an external bulkhead connector can be bolted to the side of the case. These will often already be nickel plated, simplifying the bonding to the enclosure. You can also ground the PCB to the case through metal standoffs as well.