I wish to get married but my parents have not brought forward any suitors to me until this age. They wish to get my older sister married. Furthermore, they keep rejecting every suitor for her and for me for invalid reasons. They have given me the consent to find someone for myself and when I presented a religious man from a decent family to my parents, they are acting hesitant to accept it on the basis of his location. I have been speaking with this man with the intention to get married to him. In this situation, can I engage in a mutaa with him without my father’s permission just to avoid haram as we sometimes express affection for each other.

If your father is refusing all the suitors with no valid reasons, then you do not need his permission to get married.
You can get married to the said fellow, with no need to Mutah.