I think so. If you can prove you have been in a proper relationship for 2+ years. Settlement visas take a long time though, and you'll need the English test certificate and TB test before you apply.
There's no such thing as a UK Marriage visa. She can apply for a UK Marriage Visitor visa which allows her to marry in the UK but she has to return to Thailand. Alternatively she can apply for a settlement visa which means she can stay in the UK but for this you will need to meet the financial requirements (salary of at least £18,600, earned for 6 months before applying, or savings of £65,000). For this visa she would also need to pass the A1 English test, get a TB test and pay the NHS surcharge.