A lot of you 13 yr old thinks its just a matter of transferring the champs you own etc. But there are laws involved with things like that.
Different toa, eula etc.
The NA to EU thing will NEVER happen, unfortunately that does mean all your effort/money will be wasted.
However, if you want to know why it will never happen, I googled NA to EU transfer for WoW. If Blizzard cannot make something like this happen, Riot Games certainly will not be able to either
So you can stay here, keep spending money on your account, or make a new account while you can before investing even more into your current account.
If Riot/ Blizzard could charge 30+ dollars to copy 5 megs of data to another server they would have done it long ago