Zapp
In my experience, I would say no, with a possible rare exception, you can not cure candida through probiotics alone. In fact re-populating the intestines with benefical lactobacteria may be the most difficult part of a candida cure. Many people on this board, myself included, have prematurely claimed a candida "cure" when in fact, they, and me, have merely controlled the candida overgrowth through diet.
A candida infested intestine is an extremely hostile enviornment for lactobacteria. The candida has shifted the ph of the intestine too alkaline for the lactobacteria. Compounds given off by the candida are actually toxic to the lactobacteria. You have virtually no chance of implanting lactobacteria in an intestine overgrown by candida.
So, I am taking large doses of caprylic acid. Caprylic acid is an antifungal, BUT has no affect on lactobacteria. I am megadosing probiotics at the same time I am taking caprylic acid. It is my intention that at some point the candida will be beaten back by the caprylic acid to the point where the ingested lactobacteria can take hold. When I have established healthy colonies of lactobacteria in my intestines I will claim that I am cured of candida. I will no long need antifungals or probiotics, and I should be able to tolerate modest amounts of carbohydrates.