Judging by the item description and rifle type, I would say no...you are looking for an AR-10 receiver, 308 and 7.62 are long action rounds which is ar-10, ar-15's are short action...designed for 5.56, .223, .300, etc
The description: Caliber: 5.56x45mm NATO
Gun Model: AR-15
No. You need an AR-10/LR-308 (DPMS pattern) upper receiver that works with your lower.