Yes it is possible.
Use a .300 full lngth sizing die, stripped of the decapper assembly (so if one cumples inside the die you won't trap it).
Lube .308 cases...I'd use imperial Die Wax, but whatever you use b sure it is a THIN coat.
Set the die about 2 turns UP from touching the shell holder
Size all the cases
Redistribute the lube (dont add any, just move what's there around).
Screw the sizing die down 1 turn.
Size all the cases.
Redistribute the lube.
Screw the sizing die down that last turn.
Size all the cases.
Trim to .300 length and deburr.
Put the decapper/expander assembly back into the sizing die and run those cases theough the loading process.
Idea here is to use the top of the ram's stroke, where leverage is the best, and to avoid lube dents by keeping the lube from building up in pockets.
GI brass might be too thick at the neck; I used comercial .308 cases and had no trouble with neck thickenss or case volume.