Well, yes and no.

There are fish that can do this but Bettas do not do. Some eels and the Walking Catfish for example is very good at this, they are so good that they are an invasive species in parts of the US

. Bettas do like to jump, at least some do, Oscar didn't, Felix does sometimes

. But there are many fish species that like to jump, we had some Oscars that loved to jump, one died because he knocked the lid off the tank in the middle of the night and did die.

(enter the honking big rock on the lid :laugh
In order to be successful at moving from one pool to another a fish would have to have ridged fins, think about a Mudskipper. They have very ridged fins to keep themselves upright while poking about on land

. Bettas have very soft, long fins that are no good for this, even wild Bettas don't have fins for this. Any attempt at focusing their movement on land would be a craps shoot with very little directionality at all. Since they are tropical fish there is a lot of plant vegetation low to the ground and since they are very very little fish it would be very easy to get stuck somewhere.
Breeding and life takes place in, slow moving rivers, and ponds. All of this is stagnant water with very low oxygen content. And it's warm water, cold water holds more oxygen anyways :wink: . They need the Labyrinth to extract the oxygen from the air because there isn't enough in the water, they actually can't get their air from the water, their gills aren't efficient enough. There have been experiments done where the Labyrinth was removed and the fish died from suffocation in oxygen saturated water. Many fish have this organ, most in Asia and Africa in slow moving, low oxygen water. The worse the water the larger and more complex the organ becomes. Fish like Gourami, climbing perch, paradise fish and more all have one. So theoretically they can live out of the water but only for a short time and providing they don't dry out, but movement would be limited because they don't have those ridged pectoral fins.
I love this video because it shows the Betta's natural habitat.
http
/youtube.com/watch?v=aj5OEvBQPVo
During the dry season the rivers can dry out and they have to live in puddles but if the puddle dries up they are out of luck.
Sorry about the ramble and sorry if I sound a little snotty there but there are so many myths about Bettas. I had a friend who loved them but they kept dying because she kept them in a little cup on her dresser and all because she thought they liked it. So we did a ton of research came across a great fish forum (, asked tons of questions, and well, lets say that over time you learn quite a bit. We talked to a lot of breeder/owners and had a lot of myths expelled.