Dentist here. Yes . Potentially. It could go badly wrong. You also might be fine.
if you have pre existing issues and get aligners from a clinic abroad that may or may not be regulated, you could face all sorts of issues.
Do you have regular dental checkups? Any issues with your current oral health ? Any bone loss? Without very close, careful monitoring your teeth could repositioned increasing mobility and cause no end of issues.
what if it doesn’t work? What then? In the UK dentists work pretty closely with orthodontists who can support them, trouble shoot problems, event stick brackets on to help aid the process.
what if they misjudge and put too much pressure on a tooth and damage it or causing further misalignment?
what about the attachments? How can you be assured that there isn’t any underlying decay which may deteriorate?
what are the slingers made of? How are they processed? Are they sterile? When you get examined in a foreign clinic, what are your assurance processes to determine that the instruments are sterile, or the materials they use in your mouth?
what insurance/indemnity do these providers have? If it all goes wrong, can you claim for damages?
are they qualified dentists? Where did they train? And for how long? Have they got further qualifications? Are they registered with a regulator?
what material exactly are they using? Do you have any allergies? What if an aligned breaks? What if an attachment falls off? Do you need to travel abroad to get it repaired?
ps did they advertise your services in the UK and examine you there? If so, you know that it is illegal to practice in the UK without GDC registration. ( this sort of thing, advertising events in UK hotels etc is illegal)