Can three picks be involved in an option to swap?

[Laimbeer]

Let's say Detroit, Chicago, and Phoenix all own their firsts clean in 2016. Could a trade be made among the three teams that stipulates, in part, that Chicago gets the highest of the three picks, Phoenix gets the second highest, and Detroit the lowest?

[Sixerscan]

Sixers did this last week with the Warriors. Two best of Miami/OKC/GSW go to Philly, lowest goes to the Warriors. Don't see why adding an extra team would be any different.