It may be possible but it's unhealthy! Anyone who does not have "deal breakers" probably (does not love themself or they have a very low self esteem).
At some point a "reasonable person" will stand up and say, "I won't stay with someone who cheats on me, physically abuses me, lies to me over and over again, disappears, does not show me consideration, .....whatever etc. Everyone is entitled to have "deal breakers". Unconditional implies (no matter what is done) to you or said about you that you will always remain by that individual's side either mentally, emotionally, or physically.