It’s 100% your decision and I don’t cast judgment but personally, I would say absolutely no. You’re still so young, the housing market is insane at the moment, and you are going to be giving up a LOT to go with your boyfriend.
Of course, you want to be with him and go where he goes and that’s completely normal and fine - but is this really what you want in other aspects of your life? What do you want to do? Do you plan on going to university? Are you currently enrolled in college or sixth form? Do you have a dream career etc?
It sounds to me like you’re going to be leaving so much behind. He’s moving to go to university, he’ll be studying and enjoying uni life. What will you do? I understand that being in a relationship makes university difficult but I’m just worried that you’re supporting him so much - which is amazing - but that you perhaps aren’t thinking about your own future, your own career, the things that are going to change for you etc.
Would you not just travel down and stay with him some weeks/weekends?
I just feel like this such a huge commitment and a massive decision and move to make so young. I’m only a year older than you, I’m really independent and know I would be capable of living away from home if need be - and I’m sure you are too - but I can’t imagine making such a huge move like this. Again, if it’s what you want and you think you can financially manage it, then I say go for it! Just please make sure you’re not casting your own plans for the future aside to do this.
Best of luck to you!