就你到这这段时间，我让他给我带了个三明治。 have sb do sth,让某人做某事。 it takes sb ...to do sth 做某事花了某人...(时间等)。所以time 后面是从句修饰time

The time taken for the guy to bring the speaker a sandwich is around the same amount of time taken for the other person to get there

在你往这儿来的时间里，我让他给我带了个三明治。