Not really. The weight of most swords pretty much caps out at about 3 lbs, or around 1.3 to 1.4 kg. Only dedicated two-handed swords like Zwihanders really get much heavier than that, and even those are a lot lighter than you’d think because the blades are really thin (which makes edge alignment that much more important for such big swords). Turns out, 3 lbs is the sweet spot for optimizing strike force, giving you the most mass without sacrificing the ability to accelerate it by muscle power. The difference tends to be in how that weight is distributed (hence the very long blades also being very thin).