I live in a western country where polygamy isn’t allowed (registered), however, I have strong feelings about a Muslimah. we both are Baligh. My question is, can I perform my own nikah, we both can read and recite Arabic.

You can read your own Nikkah provided you know its conditions and know how to recite it.

However, it is advised that you do not get into a relationship that will cause the break up of your family or get you in legal trouble.