Errrr.....no. Even 532nm lasers which is much, much closer to the peak wavelength of human visible have trouble getting a visible beam in daylight unless they are 1W+ of output power.
405 is way on the edge of what we see, good luck getting a visible beam in daylight from that
With a 405nm violet it is difficult enough to get a visible beam in the dark. Save up $125 - $200 and you can get one that will burn really good and be visible to most people in dim lighting. The one I have is 590mW and visible in dim lighting and will burn anything. It cost me $150 for the parts, if I would have had someone build it for me it may have cost $200, but you can find something similar for less, or you could look for a used one and maybe find one for under $100. If you don't have them yet you will also need safety glasses, battery charger, and whatever batteries the laser takes, that's about another $50.
You would want for violet 405 atleast 4-500mW for it to be somewhat visible i imagine, i have a 100 only and its barely if not invisible during day.. only when its darker i can somewhat see it if i focus on the beam.
hahahahaha lol never. When 100-1000W+ lasers become available for less than $50 I am building a concrete bunker with a 99.99% broadband HR coating on the outside and never coming out EVER.