This question is inspired by Could medieval people produce automatic firearms if they had access to the schematics?
I have simply moved it forwards in time as follows:
In 2019 we receive an alien broadcast that tells us in detail how to make an FTL drive (or some other technology that we would have taken centuries to discover on our own).
Is 2019 technology (not science) sufficiently advanced that given sufficient raw materials, we could make any conceivable human-scale artefact that the aliens specified? I say human-scale to exclude Dyson spheres or anything greater in size than say a pyramid.
Specifically: We already have electron microscopes, particle accelerators, incredibly accurate machine tools, nuclear power,etc. Surely we could make anything that the aliens described even if we didn't understand how it worked. Or can we imagine something that we can't possibly make, given modern technology and manufacturing knowledge?
To put it in different words. What manufacturing capabilities do we know that we don't have?
Assume that we can completely decipher the aliens' schematics and instructions even if we don't understand the science that explains how the thing works.
The aliens have told us what the artefact does and which levers to pull etc.
Assume we have the raw materials necessary and a huge budget has been allocated.
The aliens have been broadcasting this across the universe in the hope of helping unknown civilisations to have the benefit of their technology. By definition they must know the minimal level of our technology because if we didn't have electronics, we wouldn't be able to receive the message.
I should perhaps have made it clear that the aliens are broadcasting this information because they want us to know how to make it (hence the detailed schematic). Therefore I was assuming that they would include software and any other required information that they think we needed.
Presumably they could include the scientific theory behind the artefact as well. Remember this question is about our ability to manufacture the item, not about how to understand it.
It's too late to change this now because people have already answered but I'll mention it. My original intention was that the aliens want everyone to have this technology. They are broadcasting it in all directions not just to Earth. Also they may have sent the message way back in the past. There would not be any chance for back-and-forth. As I say, I won't make this a condition.