I saw a meme that was joking around about Lithium and Argon bonding (see pic below). It got me wondering: Can Lithium and Argon bond in any circumstance?
Argon is a noble gas. Meaning, it does not simply "bond" with anything. These special gasses have a VERY strong resistance to joining with other atoms. So, to answer your question, no, you can not bond Argon and Lithium under any circumstance. Anyone who says they have done so is a LiAr ;)
Also, since Lithium is highly reactive and flammable and Argon is used in neon, I would not suggest trying to combine these two without a proper location and gear.