Oh, NO! Bettas are Tropical fish and need heat, filtration and aeration to survive well and long. There is no way to do that in this type of set-up.
I have written MANY long winded and probably very detailed posts about Bettas and their needs. They are complicated fish and not as easily dealt with as many pet store owners would have you believe. I will not go into my full post now, but will say that it should be enough to see how poorly they are kept in the pet stores. They are kept in filthy water and most are laying at the bottom of a very small plastic cup with a few slits cut in the top. The few stores I have visited have had at least a few dead fish among those exhibited. A high percentage will die before being sold in most pet stores due to the extremely poor conditions they are kept in. Bettas need at least a 5 gallon tank for beginners to take care of them properly with the above equipment included. There can be only one male
betta in the tank at a time.
Rose
there's no space for air whatsoever, no heater, filter, andits barelybig enough for thebetta to fit into! 
other than thatyes they're very nice-looking