Yes you can! I found one when I was in my upper 40's, throughout the course of my character I've also found a Daedric Dagger, Shield, and Helmet. They are hard to come by, and I get excited when I find one, mainly because i didn't pick the Daedric perk in the Smithing tree, and I can't make any of those. Still looking for another Dagger/Sword for my dual-wielding thief.
you can find daedric weapons in chests, on dead enemies or even on random tables once you are high enough level
if you intend to use them long term i would recommend investing in the daedric smithing perk if you can spare the points.
with enough time one can find a complete set of daedric armor and weapons and even craft them without smithing perk (no spoilers how. discover it on your own)
however, you will not be able to upgrade any of them without the smithing perk
having the perk, fortify smithing enchanted gear and drinking a fortify smithing potion can vastly improve armor and weapons well beyond the base quality numbers.
as an example one of my characters has full daedric set
nearly 1000 armor rating
sword and bow that have 120 dmg without any enchantments.
thats not even pushing how far equipment can be improved
i hear that people have crafted weapons that do upwards of 1000 damage