I don't think you'd have enough space for Durant, too, not unless you completely decimate the roster. Those three would be nearly making $70M together. (Love 21.5, Gasol 21.2, and Durant 26.4)
You could if Cleveland, or a third party, were interested in a sign-and-trade for Sullinger.
On draft night, trade Amir+JJ+Young+Hunter+#3 to Memphis.
In free agency, sign Durant. Keep Sully's cap hold. We'd have about $7 million left, even with including cap holds for picks #16 and #23. Spend that $7 million somehow (ET maybe). Then send:
AB+Mickey+Sullinger signed to a contract valued at $13,344,718 in year 1. That seems a little high, but it might not be ridiculous in the free agency period.
We'd have the following roster:
IT, Rozier
Smart, ET (maybe)
KD, Crowder
Love, Olynyk
Gasol
We'd also have a few rookies from our draft choices (16, 23, 31), and the room exception of $2.9 million, probably for a backup big. But our 9-man rotation could be as above. A little thin in the frontcourt, especially given Gasol's injury history. But there could be some decent centers picked at 16 and 23, so that's a potentially workable problem. Maybe Zeller would take the room exception, for familiarity's sake.
I consider this scenario highly unlikely, because finding a sign-and-trade involving Sully could be tricky, but it's not completely impossible to have a team with reasonable depth and despite a ton of money committed to those three players.