No.

You will need to use the .308 diameter bullets for the .308 diameter bore. The resizing of the case will make the necks smaller to allow for a slight interference fit. That is, after resizing, the bullets won't slide into the case.

The .311 diameter bullets are 7.7mm and fit the .303 British, 7.62X54R Russian and 7.7mm Jap Arisaka.