Could the Federation defeat Star Wars' Empire in an all-out war?

Star Wars seems oddly backwards for a sci-fi universe (it's more a fantasy setting with sci-fi trappings), even though knowledge of space travel is as common as knowing about plumbing, technological innovation doesn't seem to really develop that much, although I guess they did go from starting construction on the Death Star to Star Killer base in the span of ~53 years, which seems like a massive leap (blow up one planet locally (from 77k km) to blowing up multiple planets across hundreds of light years). Otherwise though, had the Republic really developed that much technologically for those tens of thousands of years that they were in existence?

I feel like the Federation's shield and transporter technology would give them a huge advantage over the Empire, though obviously space wizards with laser swords and techno-bass bombs would seem to be powerful weapons in the Empire's favor as well, though the Empire itself only has two space wizards, not counting Inquisitors. I think overall, the Empire may have access to more resources and could overwhelm the Federation via a Zerg rush, similar to what we're seeing in Ukraine with Russia. Even though Russians are pulling out shitty 50-year old Cold war weapons that belong in museums, but just based on sheer numbers they're maintaining their advantage.