Can travel agents get an earlier visa appointment?

I've had an issue twice now with opportunities for a trip in two or three weeeks but not being able to go due to unavailability of visa appointment slots. The specific cases were trying to get a French visa and a South African visa in London - both have waiting times exceeding a month. The best one can do in this situation is to seemingly keep checking the visa appointments portal every day and hope that someone else cancels and you are lucky enough to get it.
I realize the answer to this may depend on the travel agent and consulate but as a general rule of thumb, can travel agents get an earlier appointment slot compared than individual users? Do they have any tricks that can help in this situation?
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Can you get visa appointment earlier date?
You will need to provide proof of the need for an earlier appointment. In all cases: You must first submit the online visa application form (DS-160), pay the application fee, and schedule the first available interview appointment.How do I get an earlier visa appointment?
Applying for an Expedited AppointmentCan visa appointment be rescheduled to an earlier date?
You cannot reschedule your visa interview appointment date earlier than your initial interview appointment date. If you do so, you will not be interviewed.Can agents book US visa appointment?
You can't. Us consulate will do it when time is right. They have stopped giving appointment for most of the visa categories.How to Schedule Early US Visa Appointment Date in Nigeria and Other Countries
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