I'm new to this, so my bad if I don't do this correctly. 
 
I had a thought, could Hal Jordan use the power of his Green Lantern Ring to lift Mjolnir? 

Maybe not you kinda need some kind of worthiness or skyfather power to lift the hammer
 
but then again all kinds of idiots like Hulk, Superman, Rulk etc have lifted the hammer

Yes I am aware of this, but technically he would not be lifting he'd be using the ring, he would not actually be making physical contact  with the Hammer. 

hmm well i know robots can lift it cause they got no soul or something and technically the ring would be lifting it and not jordan himself. but i know nothing about lanterns or how the rings work

I don't think so. The enchantment on the ring would recognize Hal as the person behind the ring and would thus judge him like all others. Machines have failed to lift the hammer before. That thing is stapled to the ground until a worthy soul comes to pick it up.