Even if you hate your time spend at someone

Even if you hate your time spend at someone

本句把spend改为spent就是语法正确的句子，过去分词短语作定语。 其中at someone else’s desk 与spent搭配没问题，因为这是地点状语而非方面状语。
原句是. And even if you hate your time spent at someone else’s desk, the worst that can happen is that you’ll end up feeling that little bit better about returning to your usual job.这是正确的句子
也可以改为Even if you hate spending your time at someone else‘s desk.追问如改为spent 的话前面可以加that 吗time后面加that或者which的话后面加的是过去分词还是谓语动词过去分词作定语时候前面可以省去主语或者关系代词吗，比如he is a teacher loved by his students.。可改为he is a teacher who was loved by his students.追答过去分词短语作定语前面不能加that。
短语作定语与从句作定语是两个概念。所以过去分词短语作定语 虽然相当于定语从句作定语，但并不是定语从句的省略，而是因为过去分词本身就具有这种用法。你的例句前者是简单句，后者是复合句。追问我能再问你一个问题吗，I will learn more knowledge took profit for the company.这句话语法有错吗

这是你自己写得句子吧。追问不是

spend 与 at不搭配。
改为：
Even if you hate your time spent on someone.
spent用过去分词表被动，做time的后置定语。

句子不通，看不出要表达什么，没有主句。从spend开始，后面的所有词是什么成分也不明确。
如果说，想说“不愿意把时间花在别人身上(桌子上)”，应该是：
you hate to spend your time at someone else's desk……

Even if you hate your time spend at someone else's desk，这是个让步状语从句，是正确的；spend at someone else's desk，过去分词短语作定语，修饰your time .