AF1 receives the same separation from other traffic, no special treatment. For the time of approach or departure other traffic might be halted but that's about it from my experience here.
If they decided to do the below than it might be possible, unsure how frequent this would be.
Quote:
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At the request of the U.S. Secret Service, the FAA can restrict airspace around locations where the president is visiting for TFRs of up to 30 nautical miles in radius and heights of 18,000 feet. Generally, all flights that have not received special security vetting by the Transportation Security Agency are prohibited within these TFRs.
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