should i fly out to my boyfriend even if my parents say no?

basically, i met my boyfriend online. we've been together for 4 months now and he's my first actual boyfriend. i told my parents about him and how we met and understandably they were suspicious. about a week later, he ended up coming over to my house to meet my parents but he couldn't stay long because he's in the military, so now him and i are very official and long distance. i want to fly out to him next week but i have a feeling my parents won't approve or agree and i just wanted to know if you guys think it would be wrong of me to go anyways regardless of what they say. i'm 20 years old and have a job. they won't be contributing financially to my trip in any way, but i do live with them. i'll only be gone for about 4-5 days. this is a bit scary for me because i’ve always tried so hard to not do anything to upset them. i just want to live my life and make my own decisions and be happy.