There are ways to change your situation, depending on your specifics, it could take some time or a considerable ISK investment.
For Empire Faction standing you can check this one out:
If you done criminal acts, and thus now being “hunted” by concord, there are Soldier Tags that drops in lowsec, from specific npc rat, that you can give to an agent in space (don’t know where; check the Wikipedia) to increase your Security Status (not to be confused with CONCORD standing)