Absolutely; I believe the "key" is getting up quickly from a deep (delta wavelength) sleep. Throughout history many inventions have manifested themselves to individuals (including Einstein, Edison...).
A recent german study (quantitative not qualitative) supports this. In the study participants performed a “number-reduction task” according to two rules that allowed them to transform strings of eight digits into a new string that fit the rules. A third rule was hidden in the pattern, and researchers monitored the test subjects continuously to see when they figure out the third rule. The group that got eight hours of sleep before tackling the problem was nearly three times more likely to figure out the rule than the group that stayed awake at night. Jan Born, who led the study, said the results support biochemical studies of the brain that indicate memories are restructured before they are stored. Creativity also appears to be enhanced in the process, (apparantly) he said.
Born mentioned, “This restructuring might be occurring in such a way that the problem is easier to solve."