Can and will...

But unless there is more than one coyote they are mostly just looking for the calves protein rich crap-piles. Coyotes love that.

I have a buddy who sat down and started calling and had the whole herd of cattle come in to investigate. He just kept sitting there and sure enough a coyote started jogging right through the middle of the herd. The cows knew he was there and not a single one seemed worried. He watched it walk around in front of grazing cows and waited till he had a clean shot and bang-flop! Now that made the cattle a little more worried.