I think the issue here is the important difference between power and energy.
100 W is not really very much power. A 100 W CW laser delivers 100 joules of energy over 1 second. That's not a lot of energy. A 9mm bullet might deliver 400-800J of energy to the target at close range in less than a millisecond, and if you aren't delivering more energy than a 9mm then you may as well not bother. Once a bullet has hit you, it has done its job. Once your laserbeam has hit someone, you have to keep it on the exact spot in order to maximize damage... if the target moves (which they will!) you end up burning a stripe over them. Unless you hit something very delicate (like an eye) or your target is immobilized, you're going to be causing some fairly nasty burns but it'll take an unpleasantly long time to actually kill someone that way.
Would a pulsed laser of 100 watts and 1 nanosecond be a good alternative to a cw laser of 100 watts?
A pulsed laser that can deliver 100 joules per 1 nanosecond pulse has a peak power of 100 GW. A pulsed laser that has a peak power of 100 W delivers 100 nanojoules in that pulse.
The former is potentially extremely dangerous. The latter is extremely not.
Fully detailing the mechanics behind pulse lasers, or why you'd want a pulse laser rather than a CW laser for a weapon is a bit out of scope for this question, and likely to take up rather a lot of room. I recommend having a read of Project Rho's take on the matter (or at least, the takes that the author has collated). On CW lasers, they are referred to as heat rays and whilst not dismissed out of hand they're considered to be rather inefficient as humans are quite wet and cooking them to death takes a lot of energy or a lot of time.
Pulse lasers are referred to as blasters, and work by explosively vaporizing a small portion of the target, pausing whilst the vapor expands and blows out of the way, then pulsing again on the same spot to deepen the hole, hopefully making a hole deep enough to do disabling or lethal damage.
An example laser pistol has the following description:
The light laser pistol is a compact sidearm for concealed carry. Its beam energy is 1.2 kJ, consisting of 60 pulses of 20 J each spaced 4 microseconds apart. It has a sustained rate of fire of 2 shots per second and a safe overheating margin of 8 shots. It masses 0.45 kg and has a 1.5 cm primary aperture. The effective focal range is around 30 meters. It is commonly powered by a 0.15 kg power pack in the grip, which gives 25 full power shots at up to 5 per second. 1.5 cm lens.
Treat that as a sort of ballpark figure for your finger guns. Your fingers probably have a smaller tip, which limits the lens size, which limits effective range, but it isn't like you're trying to make serious weapons here. The key thing to note is that you probably want to be delivering ~ 1 kJ of energy in <1 ms, if you want a weapon that's a significant threat to a (presumably unamored) human.