Edward de' bono has formulated the process of creative thinking to the point of providing practical tools that help the human mind with creativity. In this context creativity is described as 'movement of idea'.
It works like this: The human mind is an internally organised information system. All the information in your mind is arranged by creating associations with other info in the system. This way you can associate 'apple' with 'pie', 'green' and also 'wasp' (if you have ever been stung by one while eating an apple). This is opposed to an externally organised system that will use an external factor to arrange the information. A dictionary is arranged externally, A,B,C etc.
So, each individual will associate with things differently (though there are commonalities). Movement of idea is the act of creating a new association within your self organising system. Often, movement of ideas can be humorous. In the classic joke "a man walks into a bar" an pre-existing association is highlighted (that men walk into bars often), and then, through the use of provocation, the association is changed. In this case the provocation is the punch line "and says ow" which causes the the different association.
Below is a diagram of that process.
Man
|
|--> Drinks bar
|
|<---[Provocation]
|
|----> Metal Bar (lol)
Hopefully I've explained the main points that information in your noggin is associated with other information in an organic fashion and that new associations are, in essence, new idea. Also that new associations can be teased out by using provocation.
Now back to the original question:
Can solutions to difficult questions within physics be better solved from without?
There is, as pointed out before, the problem with what does the OP mean by 'better' (cheaper? quicker? more spectacular? more profound?) but I would answer a big YES to the question of whether questions within physics can be solved from without.
Take Einstein for example, he was struggling with his theories of relativity. Presumably with his ideas going round and round his head, stuck in his pre-existing associations, until he threw a stone into a pond and saw the ripples which provoked the movement of his current associations into a new idea that helped him develop relativity.
The inspiration for new ideas can come from anywhere, de Bono has laid out the process for this, and more often than not the inspiration for a new idea will come from something external to the original context.
Here's a little practical exercise for you to try: next time you need a new idea for [insert need area here] try taking a book, turning to a random page and picking a random word. Then associate that word with your problem and marvel at the flood of new ideas that follow. Ok, maybe all those new ideas arn't usable, and may seem absurd at the time, but in the business of idea generation quantity is always better than quality. Absurd ideas can often lead to great ones.