How it would be economically feasible, such power lines would cost much and power losses should be considered. Solar systems are ok for home customers. But for industrial use it is questionable. Most power used by industrial customers. They require high power sources and solar panels not among them.
Given the current socio-politic-economic climate I agree it would, in practice, be a non-starter. I am not convinced it could not be achieved from a purely technical perspective.
That said what is economic depends on the cost of the alternatives, you are also assuming that industry will stay where it is at present.
Suppose you woke up tomorrow and there was no other way of supplying power for the planet? Or that we were not constrained by the need for profit?
Could you transmit power from the EU to the USA from a purely technical perspective? Well, maybe - the longest transmission line at present is 2,300km long - that is short of the 2,900km from the coast of Africa to the coast of Brazil but not by orders of magnitude. Admittedly the logistics of submarine cables are different, the longest of those at present is less than 1/10th of that 2,900km span but there is (or was) a proposed 1000km cable.
You'd also need a few of them - the Rio Madeira link transmits 7.1GW, perhaps 1% of North America's needs, that 1000km cable was to have a capacity of 2GW. However I'd argue that it is not
so far fetched as to be utterly in the realms of science fiction.
As to PV not providing enough power - well, it is certainly less efficient in terms of space than conventional plant (an argument, I suppose for distributed generation utilising otherwise unproductive space - such as domestic rooftops). But there is a 290MW array somewhere in the 'states is there not - that should do for a bit of industry.
Would shifting terra watts of power long distances be the best solution? No, not really (I wasn't being
entirely serious) but at present we have limited capacity to store energey generated from Solar or wind power and I don;t think enough has been done on this side of the equation (there are some developments though eg the Ionex "1MW" battery).