You can make a new year whenever you want. There aren't actually rules about that.
For new year poems, I always love Lucille Clifton's "i am running into a new year" - https://www.nyswritersinstitute.org/post/poetry-friday-i-am-running-into-a-new-year-by-lucille-clifton
For new year poems, I always love Lucille Clifton's "i am running into a new year" - https://www.nyswritersinstitute.org/post/poetry-friday-i-am-running-into-a-new-year-by-lucille-clifton