No. If a spider is sucking on a nice juicy mosquito, keep that mosquito population in check. forget yeah.
If a spider is munching on a cute little frog, sorry frog, that snake also eats rats, mice, and other unwanted vermin.
If a lion is eating a zebra, well, forget you it's a lion. (also keeps zebra population in check)
basically if you passed your earth science class with half a brain you know the predator prey relationship is necessary.