Yes.

要提前多久提交文件？
-Had better file N-400 maximum no later than 6 months after the green card expires.m Otherwise, you need to renew your green card.


还有，在审批期间（如果绿卡过期）还能工作吗？
-Yes for your current employer, but you may not work for a new employer because the new employer normally wants you to show your valid green card.

如果入籍时间太晚（年底就过期了），申请绿卡要提起多久？申请期间（如果绿卡过期了，新的还没有批下来）能工作吗？
-Same as above answer.

谢谢大家！