I think in recent incarnations, yes. Back in the 1960s the spider was radioactive because people had anxiety about radiation. Now, now they are afraid of genetic modification.

Of course a spider has the proportionate strength it does because it is small and I guess that smallness is encoded in its DNA. Scale it up to your size and it can't breathe. If you want to be as strong as an ant (carry a grain of food bigger than yourself over your head) you have to shrink down really small like Ant-man.