Can one preposition directly follow another in a sentence?

Can one preposition directly follow another in a sentence? The sentence in question is: "I am so impressed by the one-on-one time that we can take advantage of with the executives-in-residence program." I can just change the sentence, but I was also wondering about the rules of grammar in regards to this case.

Other types of sentences I can think of which may exemplify a case where one preposition follows another in the same phrase belong, of course, to the category in which a second preposition, for collocation reasons, is placed right after a preceding one which, in turn, in part and parcel of a phrasal or multiword verb, as in:

"My brother always looks up to my father: he's like a reference point to him." "The sniper carefully zeroed in on the target assigned."

L2 Pre-Intermediate students often find similar examples rather tricky when they need to trasform them into the passive voice, as they tend to forget to keep the second preposition.

There's nothing ungrammatical about it: it's just a coincidence that the phrasal verb take advantage of is followed by with. However, as waiwai933♦ has sugggested, it's not very elegant, partly because of the preceding one-on-one time. Cases such as this are not to be confused with complex prepositions like in place of, up to and except for, which can be used without hesitation.