He has no dog and no family. I have no arms and no hands.

有否定词的应该是否定句吧（个人观点），就像never、seldom一样
能改为
He has no dog and family.
I have no arms and hands.
不能改为
He has no dog or no family.
I have no arms or no hands.

不能，因为NO=NOT ANY/A（AN），但可改为
He has not a dog or a family.
I have not any arms or hands.

不是吧，应该改成：He has no dog or family.
I have no arms or hands.

i have no XXXXXX
是肯定句

He has no dog and no family.

I have no arms and no hands.

能改为
He has no dog and family.
I have no arms and hands.
不能改为
He has no dog or no family.
I have no arms or no hands.

i have no XXXXXX

是肯定句

你说的那两种都不能改，可改为He has no dog or family. I have no arms or hands.有no存在当然是否定去啦。

不能吧！
应该能改为：
He has not a dog and family.
I have no arms and hands .

I have no XXXXXX

是肯定句。