No, currently non-Thai passengers flying into Thailand can't do the mandatory 14-day quarantine at home.
From https://mobile.twitter.com/RichardBarrow/status/1268924407537233920 (mirror 1, mirror 2):
Q2: If I fly to Thailand, can I quarantine in my own house or do state quarantine for free?
A: No, for the foreseeable future, foreigners must book a ...
According to Richard Barrow's Twitter account (mirror 1, mirror 2) on 2020-06-02:
Although Phuket has opened its land and sea borders, it’s not the best time to visit as there is a mandatory 14-day quarantine on visitors arriving from eight risky provinces -- Bangkok, Nonthaburi, Narathiwat, Yala, Krabi, Prachin Buri, Samut Prakan and Chiang Mai.