I'm unfamiliar with the Stoeger safety. With my Diana 34 I can open the barrel, take the safety off, hold the barrel, pull the trigger, and ease the barrel carefully back to battery - uncocked.
Okay, even more like a Crosman than I thought. Both are B19 Chinese clones. My Nitro Venom had only the manual safety and what they call the anti-beartrap. I believe that is what you're calling a second safety. It should hurt nothing to remove or disable it. I had to remove the thing from my Nitro Venom when I retrofitted an Np2 trigger anyhow. Ask Michael if he'll let you pull the stock off his NP2. You'll see exactly how it works. It's kind of a linkage that blocks movement of the trigger with the barrel open. That's all it does and the only time it's active.Just don't smash your finger.