定语从句 The poor man has no house in which to live.

可以是可以.这是“疑问词wh-+不定式”结构做定语的一种特殊用法,是由定语从句演变而来的.但这种用法不太规范,不容易明白.建议楼主还是少用为宜.推荐下面的几种表达法给楼主：
The poor man has no house to live in./ The poor man has no house where he can live. / The poor man has no house in which he can live / The poor man has no house which / that he can live in.

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百度文库真的很好用！

可以，因为 live in不是固定词组，介词可以提前。

可以的