It sure will. Fucking with gas prices is a one-way ticket to economic mess, for so many reasons (just look at the 1970s). It's going to be BAD these next few months.
Ukraine being emphasized is pretty much a distraction the elite are using from both ending their Chinese virus restrictions and from the economic mess it all caused. But make no mistake, it's going to be hard to pin everything on Putin unless they go for the literal nuclear option i.e. starting a war with Russia to cover up the collapsing economy. I don't know if they'd go that far, because it's such an ultimate gamble, even for the elite. Even if they survive, when they emerge from their bunker they can't just resume their place as rulers of society.
It makes me wonder if Putin considered this. He doesn't seem worried about Western sanctions, so it seems like he's counting on the sanctions compounding with existing economic issues and tanking the Western economies and forcing them to the table. Either way, everyone loses, it's just a matter of how much at this point (and negotiating with Russia means Putin wins big even if his economy is fucked for years because war is expensive as hell).