Amend Only Federal Prior Year return

Can I amend my 2023 federal return only - and not amend my state return?
Also, do I need to wait for my amended return to be processed before I file for 2024?
Answers
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In 2024 when I still lived and worked out of state in January and February, I earned money at a job and they sent me a W-2 form for most or all of what I earned, $6,192.35, also a family member gives me money very frequently to help support me, but maybe part of the time to pay me for chores maybe no more than $4,000 or maybe less in 2024. Without having them to go through the trouble of giving me a W-2 form, can I file ELECTRONICALLY on FreeTaxUsa for IRS and the State of NJ, reporting the income all by myself and paying both taxes their portion and mine? If so, how can I do this? I did read online about Form 4852, that may be for at least if not only the IRS.
Please advise me correctly.
Thank you
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