I do not know what you mean by 'conventional' explosion. If you mean that there could have been a pre-existing 3-d space into which it expanded, no, this is not a solution that is compatible with general relativity. I am not even certain what you would call an explosion that involves all of space ,all at once, and where there is initially no matter present; just pure gravitational energy locked up in the curvature of spacetime. There would be nothing conventional about ANY aspect of such an explosion, and to avoid incorrect analogies, I prefer not even to think of the Big Bang as an explosion at all.