No, that is not correct. If they issued a Form 1099-MISC for services performed, first this is the wrong form. The correct one is Form 1099-NEC.
Secondly, they cannot issue an income amount that you did not receive AND they can certainly correct it. Often these mistakes are corrected with the IRS. It's a simple as entering the correct amount and then checking a box that shows 'Corrected". For your convenience I have placed a copy below to show you and for you to show them if you want to take that step. Then they should issue you a copy of the corrected form.
Next, you are required to report the amount of money you actually received. If they will not issue a new document, then you should keep all your notes, bank deposits and/or documents that show what you actually received from this business where you conducted work. This way you will have the necessary information should you be questioned later.
Keep in mind the Form 1099-NEC would have the same correction box. It's a very easy correction process.
