This is required circuit
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Yes, it is done. They are burst mode regulators. In other words, they skip pulses when the voltage gets too high. I have seen voltage converters that do a 1.5 to one step up for LED's using a charge pump. (I had the same opinion you did until I saw those.)Don't know of any switched capacitor where you can control the output voltage unless you add a linear regulator to its output. That's why inductive type converters are common.
That would work although the output ripple voltage would vary in frequency and amplitude with the load current. For LEDs that's not a problem of course.Yes, it is done. They are burst mode regulators. In other words, they skip pulses when the voltage gets too high. I have seen voltage converters that do a 1.5 to one step up for LED's using a charge pump. (I had the same opinion you did until I saw those.)