Technically it would be possible to happen, but extremely unlikely. For one, you'd need to be both guild master so to speak of your specific cell, and there is usually only one or two in a single "kingdom", or province in Elder Scrolls terms, so 1 or 2 for skyrim, 1 or 2 for high rock and so forth, Morrowind is exempt because they have the Morag Tong and they dont like competition. So you need to be guild master, which means you have to be a expert killer yourself and by that i mean the best of the best, you dont get to climb the ladder unless you knock off everyone else ahead of you, which hurts the guild, or being basicly the best assassin thats ever come through that specific cell.
Now lets assume you achieve this, you are also a noble, a lord, you deal in politics. Before long, you use them as a political tool, kill rivals and opposition. How long do you think would it take until the Brotherhood catches on they are being used by a greedy, self-absorbed noble? How long would it take for them to simply..cut their ties with you, to put it mildly? Not that long, believe you me, your noble life would be a short one indeed. Hence why its not really doable since, going by lore and canon, the DB does not like being used for personal gain, you serve Sithis and the Night Mother, they do not serve you.