The 
Admin Guide page on Managing Databases has a section Secure Socket Layer (SSL) mentioning that by default Metabase tries to connect securely first. If we do a bit of code spelunking we see both the current generic UI frontend and Presto driver specific backend code seems to support that statement.
So, yes it should be supported. (I’ve never tried Presto myself - yet - though)
There’s an excellent Troubleshooting Guide section on database connection problems:
Let us know how it goes!