Social Security Questions? Ask a Social Security Expert
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You cannot choose when you receive your benefits. It is same for everybody and the SSA will not change the schedule.
To claim a hardship you will need to proof that this payment schedule prevent you from getting food on table or speed up your eviction of prevent you to get adequate shelter. It is one time fix, not a long term solution.
If you are going to visit the office I would suggest to make an appointment to avoid long waiting.