not having finished his homework,he had to having lived in h

不可以.
后面那句应该用过去时,not having done,sb did 还没有来得及.某人不得不.
“还没有完成他的作业,他不得不在北京居住很多年.”
再问： 是两个句子的比较，第一个句子是 not having finished his homework，he had to work allnight 第二句子是having lived in BJ for many years，he knows everything about the town
再答： 哦，这两个句子都是正确的。
再问： 现在分词的完成时做状语，与主句的时态没有关系吗？
再答： 对，与主句的时态没有关系。主句一个是一般过去时，一个是一般现在时。都正确。