GMAW (aka MIG) or GTAW (aka TIG) on aluminum both use 100% argon. (GTAW pretty much uses 100% argon as the shielding gas for everything. See third paragraph for some exception.)
You do not use any sort of argon-CO2 or argon-O2 blend to weld aluminum.
(sometimes, some sort of argon-helium blend might be used for welding 'thicker' aluminum, as the ionization voltage of helium is higher than that of argon, so more voltage is used in the arc, which means more energy/heat in the weld. Which is sometimes needed for welding 'thick' aluminum.)
(second background info factoid: Originally, the GTAW process was was called "Heli-Arc", because it used pure helium. Then someone figured out that the much less expensive argon could be used as a shielding gas.)
And yes, unlike steel where almost any steel alloy is weldable (sometimes with certain pre/post heat treatments), there are certain common aluminum alloys (such as 7075) that are just unweldable (by fusion means, they are sometimes 'welded' via processes like friction-stir welding).
As to welding aluminum without shielding gas (either GMAW or GTAW), NOPE.
Unless you want to get either a spool gun (if your machine can use one) or you want to attempt to use the 'special' (plastic/Teflon) liner in a regular short-length MIG gun cable and get a cylinder of 100% argon and practice a bunch of aluminum welding on some scrap pieces the same alloy and thickness as your workpiece (all doable, maybe), then either have someone with the tools/skills weld it up for you or use some other process (sometimes aluminum can be brazed, sometimes the lower-temp fillers like alumi-weld can be used).