I wanted to put this out there, and it's a little self-indulgent so forgive me for it. But I am finding it interesting.
People seem to want to tell their own stories about the main character of the game, and are convincing themselves they can't. The game tells them who they are, tells them who they can be, tells them the only options are those on the screen. This is both true and false - true in the sense of mechanics, false in the sense where it actually matters. Let me break it down for you what I mean. It starts with realizing the game is presenting options for you, and giving you a text box and setting more options before you . . . and then realizing those define circumstances but not the important parts of your character. They dictate some events and conversation tags, but you're not necessarily needing to use them - you're free to pick outside of that. (Of course, you're not free to type in your own answer and have that reacted to; that's so far out of scope it's silly to suggest even the golden age of Bioware could do that.)
But you're free to ignore all of this, give a big middle finger, and write your own story. The game wants to tell you the family you're from is from the Free Worlds League from decades ago and became nobility, so you're technically a lord of somewhere? But was that really the case? Maybe you're not emigrates from the Lyran Commonwealth, your family was Free Skye sympathizers needing to GTFO after the Lyran Intelligence crashed their gathering. Technically, it fits, but you were exiled not because of a heinous crime but because you uncovered the truth of that and you needed to be disgraced and have your word questioned about it by being framed for something. And in having been exiled, maybe it's a case of you joining the Aurigan Coalition soldiery because they were the only people who didn't care about something thirty years past and thirty jumps away . . . maybe you're doing this because your family needs a fresh start with you, to step out of that heinous past and go "to hell with where my family started, what matters is where it's going".
Nothing in your bio building stops you from having this as your character, or anything else. Stop thinking about why you can't tell the story, and start thinking about how you can make your story rise out of what you have been given to build from. It's not a cage preventing you from telling you your story, it's the LEGO bricks you can use to build something new, unique, and wonderful. It's up to you, and if you can picture a character in mind . . . if you can write the start of your character's story enough to beat the character generation as it is?
You can work around it, you can have a story of your own, and I know you can make it happen.