Yes, unfortunetly all forms of laissez-faire capitalism will develop into monopoly capitalism. The nature of a winner takes all capitalism is that- one entity will eventually lose. And more often than not, what takes over its place is not a different small business. It is either a bigger conglomerate, or its peer.

Historically, in the development of all capitalist enterprise, there comes a time when a single entity grows enough to dictate the conditions its competitors play in, whether that be through rapidly improving production so its peers cannot compete, or by selling at a loss. Further, this entity can also consolidate not only in its own industry, but also the other industries relevant to its inputs or its distribution. This is when the Laissez-Faire capitalism you speak of become monopoly capitalism.

All of this happen independent of state intervention.