No--it goes beyond just the problem of evil. The conception of God includes a whole mass of contradictions and absurdities. God is able to travel faster than light, for instance, and is able to resolve contradictions. He can be both heavy and light at the same time (or so concluded Middle Ages clerical scholars).
Aside from this, the lack of any evidence FOR something is good enough grounds for rejecting that proposition. If I were to say to you, "There's a dragon in my back yard," you might take a look and, seeing nothing, reply, "I don't see a dragon."
"Well, that's because it's an invisible dragon. You can't see it, or touch it. In fact, you can't sense it in any way. I just know it's there!"
Saying that a thing that cannot be detected in any manner at all is the same thing as saying that it does not exist. Something that cannot be detected by any of the senses is the very definition of "nonsense."