It turns out you can pinch one of Starfield's better suits without picking locks. Not only that, you can actually get it quite near the start of the game.
There are a variety of suits in Starfield, obtained in various ways. Some you can buy from vendors, others can be found by exploration and looting. Your usual video game fare. However, if you are canny and take the time to place your cursor in just the right place, you can nab one of Starfield's better suits as early as the second mission.
The suit in question is the Mark 1 Spacesuit, which comes with the accompanying Helmet and Pack. It is all kept in a glass cabinet, under lock and key, in the basement of The Lodge. You can try to unlock this case in the traditional way, but unless you are a Master lock picker, you will be informed it is too difficult to do this right now.