You can pulse lasers down to femto seconds. But continuous operation is more likely for a smaller weapon. The very large high power lasers are limited to a few seconds by the ability of the optics to handle the power.
Some synthetic crystal medium power lasers only seem to have a continuous beam, it's actually rapid pulses.
There are certainly lasers today that could be handheld (if you are an idiot) and lethal if applied to a person not wearing protective clothing, They are under $500 (green usually) and used in computer controlled cutting / milling / etching table top sized machines.
I nearly bought one for engraving and other applications. I have the SW and files to drive the system (About $3500 for budget table top CNC ready for your PC), but laser to retrofit to existing CNC mill is available)
Nd:YAG lasers are used in manufacturing for engraving, etching, or marking a variety of metals and plastics. They are extensively used in manufacturing for cutting and welding steel, semiconductors and various alloys. For automotive applications (cutting and welding steel) the power levels are typically 1–5 kW.
See
Nd:YAG laser
Certainly possible to power for 10 minutes off 4 x 12V batteries + electronics in a very heavy back pack and small / light enough to hand hold.
Incredibly there is no licence requirement for ownership. Seriously more dangerous than the battery powered models used by idiots to flash at aircraft. Any expert Electronic Engineer could make a back-pack PSU.
It's doubtful any such weapon is ever going to be as effective as a rifle, machine gun etc due to limitations of power. In last 65 years we have only reduced to about 1/3rd the weight vs capacity of suitable battery packs (i.e. Lithium powered car vs 1949 NiCd battery packs used in Military Radio).
The really powerful lasers that can destroy a tank, satellite or missile use a generator set about size of a container and are single use chemical lasers. Firing uses up the chemicals, transferred from supply to waste tanks. The limit on power seems to be the optics as even a very small percentage loss of 100kW is going to cook the optics. Most of the energy of the Megawatt range Chemical laser is from the toxic chemicals. The vast amount of electricity needed is for cooling and pumping. Even 0.1% loss in optics could be 2kW! The loss could be higher.
Chemical laser
You won't as easily buy one of these as the CNC lasers. Your local recycling centre won't accept the waste chemicals from firing.
Despite the performance advantages of chemical lasers, the Department of Defence stopped all development of chemical laser systems with the termination of the Airborne Laser Test bed in 2012. The desire for a "renewable" power source, i.e. not having to supply unusual chemicals like fluorine, deuterium, basic hydrogen-peroxide, or iodine, led the DoD to push for electrically pumped lasers such as diode pumped alkali lasers
Currently using arrays of solid state lasers are under development and are nearly at Chemical laser power levels. But it's more a case of research because they can.
Current system is 1/10th to 1/50th power of abandoned Chemical lasers
Laser Weapon System
I don't think anyone seriously thinks lasers are a weapon of the future. Military has already done it and largely abandoned it. See also
Soviet laser pistol
Also see
Directed-energy weapon
Rail gun tests have proved that with development it's more devastating than laser. They just have to solve the problem of the short life of the rail gun
Railgun
Currently only American nuclear powered vessels may have enough electricity generation capacity. They need a lot of power. You also need a minimum length of rail, those to facts mitigate against any man portable weapon. Even if you have a magical Fusion power Backpack (A scary thought) the "rail" part is going to need at least a truck. Using it on your spacecraft implies a very large craft, even so every action has a reaction, so you can even use it as propulsion. Even if you don't want to!
Plasma weapons are only very short range and in a vacuum. Probably inherently useless. Like trying to throw balls of steam, expands very rapidly.