You're probably eligible to acquire British citizenship by 'naturalisation':
https://www.gov.uk/becoming-a-british-citizen/check-if-you-can-apply
However, while the UK recognises 'dual citizenship', the Netherlands (in most cases) doesn't. If you acquire British citizenship you'll automatically lose your Dutch citizenship unless you lived in the UK for 5 years while still a minor (which, from your post, doesn't seem to be the case) or you've currently got a spouse/civil partner who holds British citizenship. (Under those limited circumstances you can have dual nationality).