Speeding up the process would require skills beyond the reach of most attorneys. For as long as the processing is within the published processing time, chances are only G-d can speed up the process.
I agree with my colleagues.
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There is no extra fee you can pay to get expedited processing or everyone would pay it. There is little to no chance you will have a decision by the end of March because Cuban Adjustment Act cases are taking somewhere between 6-9 months to process on average. Hopefully you have not already planned a trip. If you have, you should probably see what you can do to reschedule or get your money back. If you already planned a trip, just for future reference it is always best to consult with an immigration attorney BEFORE planning such things on such a tight timeline so you can plan accordingly and not end up in this position after the fact. Good luck!