Are we talking about quantum physics, or Einsteinian physics, or real physics?
Given a sufficiently long enough time, a sufficiently advanced civilization could do it. However, it would not be a LARGE bust.
The idea of light 'fanning out' assumes either a wave theory of light, or that the photons are sent in a 'beam' of many photons' width.
Projecting one single photon at a time in one stream of individual photons, would not disperse any more than a 'charged particle' would expand as it travels through the universe, whether by the 'square cubed law' or 'inverse square proportion law' or any other law. So by beaming one photon at a time, at exactly the same target, every photon would expect to hit that target. There is no dispersal. However, one photon at a time would take a VERY long time, and would be feasible only for a VERY small sculpture.
The problem, of course, is that photons do not travel in a perfectly straight line. They are influenced by such things as, well, gravity. Physics at the quantum level, however, does not seem to experience such a problem.
However, there does not seem to be a theoretical limit to how BIG the quantum world can be.
Multiple beans sent in superposition, all 'converging' to form an interference pattern that looks like RRR? A sort of 3D superposition interference pattern holographic image?
What is an 'image' of RRR? Would a 'digital' image (or whatever an image made of qbits would be called) suffice?
Here we have a really interesting prospect. A quantum superposition crystal of the image of RRR, projected intact (or as 'intact' as a superposition particle crystal can be called) across the void, going at the zero velocity speed of c. Do you want to call that a 'beam of light'? Of course, the devil is in the details. STOPPING this would certainly lead to decoherence. Exactly how long do you want this 'bust' to last before it is, well, 'busted'?
But then again, exactly what is 'time'? If time does not exist, and everything exists in the same 'instant', this bust would be timeless.
So what physics do you want to govern?
Us silly humans of so very little knowledge and intellect tend to profess to claim all kinds of things are 'impossible' under our understanding of physics, until of course we find a bust of RRR on the moon, and then promptly explain exactly how it got there, using our newfound knowledge of some quaint hitherto unknown physics or scientific principle we never previously thought possible.
A million qbits in a single crystal?
The OP mentioned the 'uncertainty principle' in the comments, opening this up to all models pf physics, known and unknown.
The quantum world has no relativistic framework, because the quantum world is in isolation from everything else. Once the quantum world becomes relativistic, it decoheres. Thus, a quantum particle has no velocity, speed, or position because all of these measurements are relative to something else. In order to measure them, one must place the particle relative to something else.
Thus, the uncertainty principle.
There is no way to ever tell WHERE a quantum particle is in the universe, relative to you, until you measure it WRT where you are. Then, it is no longer a quantum particle, it is a relativistic particle in a relativistic framework. Thus, a quantum photon has zero velocity (and zero position) at any one instant but can travel at c through time.
That is, a quantum particle is EXACTLY Einstein's 'mind experiment' solitary person in an infinite universe with nothing else that exists 'relative to' it. No position, speed, or velocity. And no acceleration, not even the possibility of accelerating, because there is nothing to react against in order to accelerate - nothing to apply a reactionary force against. No 'equal and opposite directions', no Newtons' Law. Every force is applied in EVERY direction equally, thus no unbalanced forces to create any acceleration.
But we know there is no theoretical limit to how big any individual quantum world can be, so there is no limit to how 'big' a world can be that is not in any relativistic framework. That is, there is no limit to how big a 'superpositioned' 'uncertainty' 'non-relativistic' 'non-object object' can be. Wow, that is some string of unqualifiable 'in quotation marks' definitions, but such is the quantum world. An undefinably perfectly defined world.
There is, and can be, of course, no concept of the 'passing of time' in a quantum world, if there is nothing relative to measure it against.
In such an arbitrarily large quantum non-relativistic world, there is no limitation on information transfer, it is instantaneous, because there is no way to 'isolate' where any particular piece of information is. And it can 'decohere' anywhere in any arbitrary frame of reference.
CONTROLING where it decoheres, of course, is another chapter.
The 'conservation' laws - conservation of energy, momentum, etc. are in a CLOSED quantum system, but NOT in any sub-region of that closed system. Energy can be ANYWHERE in a closed 'quantum' system, at ANY particular point in time. The universe is theoretically the limit to the 'closed system' in the quantum world, and there are NO 'sub-regions' because there is nothing to define these regions 'relative to'.