Can you escape the vault in framing the frame while solo
Solution 1:
No, you cannot escape without setting off the alarm if this happens. Since you can't turn off the lasers inside the vault, and you don't have someone else to turn them off for you, you're stuck. Your options at that point are to either reset or set off the alarm and hope for the best. No calling for help, either, because anyone who drops in will spawn where you are (stuck inside).