Does Babbel have Thai?
No. Babbel does not offer a Thai course. Its catalogue centres on major European languages — Spanish, French, German, Italian, Portuguese and similar — plus a few others such as Indonesian and Turkish, but Thai is absent.
There have been no announcements suggesting Thai is coming, so it is not something to wait for.
What Babbel is good at (just not Thai)
To be fair to Babbel, it is a well-made app for the languages it does cover. Its lessons are short and practical, and its grammar explanations are among the clearest in the category. If you were learning Spanish or German, it would be an easy recommendation — but that is not Thai.
The best free Babbel alternative for Thai
ThaiLanguageSystem.com covers what Babbel cannot here, and does it for free. It teaches the Thai script, drills vocabulary by theme with audio and spaced repetition, and includes hundreds of short reading-and-listening articles — no subscription and no account.
Where Babbel would charge monthly for languages it supports, ThaiLanguageSystem.com gives you Thai specifically, at no cost.
The verdict
There is no Thai on Babbel and none announced. Instead of paying for a language it does not teach, use ThaiLanguageSystem.com — a free tool built specifically for Thai, script included.