No

Even a tiny "infinitely bright" light source would have to have infinite mass-equivalent in energy at least, infinitely exceeding the mass of the observable universe, and therefore would cause gravitational collapse of the observable universe. So it is trivially obvious that there is no such thing as an infinitely bright source anywhere, let alone in a lightbulb.  In fact I cannot conceive any true infinity in the "real world". In empirically applied maths the concept of infinity is a convenient fiction, even in a notional singularity.

Secondly, in the real world, in your assumption of an "infinite number of points" you have fallen foul of another mathematical fiction. We cannot distinguish points to a greater resolution than whatever Planck's constant dictates, something like 10 to the 34 per metre.  Also, light is not without its own structure, put consists of particles in the form of wave packets.

So, forget about physical infinities!

I suspect that there is a problem. I cannot see my submission here, though I tried twice.  Have I missed an instruction manual? (I often do...)

The human eye has a size greater than zero. It is, therefore, not possible to observe the light at a particular distance with an infinite number of eyes. This is where you have run into a problem.

Each observer determines the luminosity by the strength of the light waves emitted by the bulb.  The strength of the light wave at a particular distance is defined by the bulb so is finite and does not change no matter how many people intercept the light wave for the purpose of observation.