Yes, but choosing good source, which has synergy with beyers can help to make this peak more enjoyable.
I keep reading that. I don't think people quite know what they're saying when they say it. The DT880's treble has a peak, meaning a rise and subsequent fall in amplitude over a narrow frequency bandwidth. To "synergize" with it would mean that the amp has a dip in the same area to compensate. That's just not how amps, or any upstream equipment, for that matter, work. And even if such a source existed out there, I wouldn't want to buy something that has a thin, deep notch centered at a specific treble frequency. What if I wanted to use it for multiple headphones, or replace my DT880 with something else sometime down the road? The amp/DAC/whatever would be rendered useless. Expanding on that logic, no manufacturer would make a source device with such specific tuning because the market for it would be tiny.
If anything, a source will be tilted either warm or cool in a continuous, gentle rise or fall of at the most a dB or two. Most quoted specs I've seen suggest the deviation is usually much smaller, on the order of half a dB or less. Tubes add additional harmonics and have an effect on the time domain, and some more "characteristic-sounding" tube amp designs are rolled off at the top or bloomy in the bass (this can also happen with poor impedance matching/damping). More carefully-designed modern ones aren't either of these things.
Regardless, all of these are comparatively minuscule differences when considering the overall signature of the headphone. If you're experiencing extreme irritation from the DT880's treble as you've described, there's no amp or DAC or any other piece of gear short of a programmable hardware parametric EQ that's going to significantly change that. The best source selection can do is push a headphone that's right at the boundaries of one's preference into listenable territory.
Now I want to make something clear. I'm not beating up on you (or anybody else, for that matter) with all this. I'm trying to save you (and perhaps others who come across this later on reading through the thread) a lot of time, disappointment, and money swapping sources and hoping for a miracle. Stories of radical transformations abound on Head-Fi, because people who spend $$$($...) on new gear have a strong motivation to believe that it has made a difference. Many newcomers to the hobby see these stories and just repeat them because they keep seeing it.
Spending a little time working through the logic reveals it just can't be true. There isn't some magical, undefinable quality that can make a particular source eliminate highly specific flaws. Things that headphones do wrong can almost always be precisely defined. Prominent sibilance, as in your case, is caused by a treble peak centered exactly where the DT880 has its peak. It has nothing to do with file format, digital conversion, the amp, the DAC, the cable, or anything else like that that frequently gets thrown around on Head-Fi, and none of these things will make a dramatic difference (see first two paragraphs). It's just how the DT880 is. Even as a happy DT880 owner for over four years, I still have to admit that on certain recordings the sibilance can be bothersome. I put up with it because the good qualities far outweigh the negatives
for me.
Every person is different, and if you find that the sibilance is too much for you, that's a perfectly valid conclusion.
So I apologize for the mini rant here, but I wanted to take the time to put down some thoughts I've wanted to articulate for quite a while.