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I understand what you are getting at, but the short answer is no.

The longer answer is something called The Superposition Principle. Essentially, waves (photons) pass through one another. The amplitude adds, but only at the intersection. The frequency does not change. (Consider the laser as the ultimate example of this)

(Side note: The superposition principle does not always hold; however, the realms where the addition of MOAR PHOTONZ becomes non-linear are broadly incompatible with life)

So, most techniques involve having many, many beams intersect so that the individual paths are only a little damaged while a specific spot where they all meet takes the hit. I met someone who specifically programs the machines that do this because there's a lot of math involved chucking radiation around irregular hunks of blood, meat, and bone, and the calculations are done because the first idea of "just cross the streams" works fine in a vacuum, but not so much in the human body.