From etymology, they owns the same radical. 问 means ask 间 has many different meanings such as: 中间 = middle , 间隔 = interval.

All characters are related in one way or the other. You really need to be more specific with such a question.

yes, by 门 问 = 门 + 口 间 = 门 + 日

看得出“间”家里装修了一下，也许人口比较多，房子不够住。

They are not related to each other. 他们之间没有关系。