Whip chilled coconut milk (only the thick part) with powdered sugar and vanilla until fluffy. Chill.
Mix crushed graham crackers, melted coconut oil, and salt; press into a 9-inch springform pan. Freeze 10 minutes.
Fold half the mango puree into whipped coconut to make mango swirl. Spoon half over crust; freeze 30 minutes.
Stir lime into remaining mango puree. Spread remaining coconut cream, then top with mango-lime layer. Smooth and freeze 4 hours or overnight.
Run hot knife around pan to release before serving. Slice and let sit 5 minutes so it’s easier to cut.