No definitely not a solder sucker will not kill any component with static
Well ... it depends.
The plastic in the anti-static solder sucker is a type that doesn’t generate static electricity when actuated. The plastic in the regular type probably does. And think about how you use the thing: you put it right at the pin of a device, so for the type that does generate static, the static gets discharged right at the component.
“It depends” on the part’s sensitivity to static electricity. Old CMOS parts? Yeah, you’ll probably blow them up. Big bipolar power transistors? Probably not.
But when you use one of these things, you are generally uninterested in reusing the chip you are removing. So the zap doesn’t matter. Unless you zap a neighboring device. In which case it does.