A bunch of muscles in my back twitch/spasm when I get a massage or someone touches my back. Can this be stopped?

Mostly my erector muscles but also my lats. It happens every massage and once they start they get super sensitive and do it more. Twitch and then release quickly. It doesn't hurt, more tickles, but it's uncomfortable. Wildly, it happens when I get a haircut too, the buzzing around my ears makes the same muscles in my back react. One time my massage guy worked at them for a whole hour doing different things to make them stop twitching, they just wouldn't. But as soon as the stimulus stops, they stop. Is my back just too tight? Is this a thing that other people experience?