Factually, no. There is zero alcohol in non-alcoholic spirts like Mashville and an insignificant amount of alcohol in other non-alcoholic spirts like Spiritless. So, no you cannot actually get a buzz from NA spirits.
However, the placebo effect should not be underestimated. When you're enjoying a delicious mocktail with friends, many have experienced feeling giddy or "high". That's your brain tricking you.