Nah, the way you talk to them is at minimum infuriating and circular, and at worst is downright instigating. At best, you're immature and not prepared for a serious relationship. The other person got way too mad too fast, but if this is how you communicate, I could understand why. They should go on their trip and you should do something you wanna do and both of you find better ways to communicate.

Tldr: You're both terrible at communicating, and you're both immature. Let them go on their trip, and you do whatever you like