There are frequency multipliers, optical mixers and optical parametric amplifiers, which can multiply, sum or subtract the frequencies of laser beams.

A well known use is in the green laser pointers, which contain a frequency doubler and an infrared laser.

However any frequency conversion device increases the cost and reduces the energy efficiency.

It is very unlikely that it would ever make sense to multiply the frequency of such a laser with enough stages to reach visible light, because that would increase the cost much above the alternative solutions that exist for tunable lasers in the visible range.