Yes, but it's hit or miss. You have to buy the Obscure or Interesting etc Armor from a Vendor and hope it has the Trait you want.
Or, you could ask someone to craft it for you. Like me. I can make you the training trait in any armor line for any piece of gear. Send me a PM and we can work out the details (you give me the mats, it's cheap, I provide the mats, it costs more). If your just looking for something to research then that is even cheaper. If your looking for something to wear, I need to know Level, Racial Style, Armor Weight and what level of improvement (better armor gives more exp, a full set of green for instance gives 42% Exp Boost)
You can also search the Guild Kiosks/Stores for a specific trait on a specific armor piece.
Enjoy the game, life is what you really want to be worried about.
PakKat "Everything was going well, until I died"
Gary Gravestink "I am glad you died, I needed the help"