Yes. The sites on this page have strict policies about responsible gambling and self-exclusion lists.
All the blackjack sites licensed by the UKGC need to comply with the UK Gambling regulation, one of the most demanding in the world. For more info about self-exclusion, you should visit the GAMCARE website.
Remember: gambling can be addictive and you need to take responsible gambling very seriously. Having a gambling problem is not fun and can lead to extreme consequences. If you think you might have a gambling problem, take this test.