Not a chance - bettas won't hybridise with any non-betta gouramies and, as was said, won't even hybridise within the genus.
There are complexes (as was mentioned) within which bettas hybridise but they will not hybridise far outside them (Its been suggested, and largely accepted, that Betta splendens itself is a hybrid and it's well known that, in Thailand where they are used for fighting, bettas have been hybridised to improve their performance as fighters. Furthermore, the now common metallic colors in Betta splendens are the result of hybridisation. Consideration has also gone into re-classifying some
Betta species so that they are no longer considered seperate or are demoted to 'sub-species' level.)
Actualy, gouramies won't generaly hybridise across genera. I suppose that means they've been classified pretty accurately
You will find, however, that, once behavioural barriers are overcome, many of the species within a genus can, and will, produce offspring (eg: three-spot X pearl works in theory - but behaviouraly it's difficult. Simialrly, many of the licorice gouramies are very closely related - with them the problem is keeping them alive, persuading them to spawn and actualy feeling justified in wasting your time hybridising these rare-ish fish when you could be producing pure ones - not to mention the fact that it's very rare to find a source with more than one licorice species in stock
).