Nope. In an unregulated economy, the only way to make a monopoly is by offering your products or services at a better price than your competition
Don't confuse an econ 101 market with the real economy as a whole. In a completely unregulated economy my business can purchase the ability to burn your company to the ground or purchase the ability to prevent you from having shop space to sell your goods. If I can keep people from knowing your products exist your prices do not matter. I can do that by slander with advertising or buying you out.
Instead we have a government - a designated group of people with the monopoly on the business of violence - to prevent the former. And that government also has anti-trust regulations to prevent the latter cases.
More to the point, natural monopolies form in any market where there is huge advantages of scale, first mover advantages or large infrastructure outlays required. The services provided by water, gas, electric and gasoline distribution follow these laws. These are all heavily regulated because if they don't start with a monopoly the eventual consolidation of businesses for efficiency creates them.
In the case of Amazon, Google, Facebook and Microsoft on Internet services they have a long-tail market with network effects and high cost of entry (largely a sunk cost today between the Free/Open Source Software and piracy movements.) In this you have all the features to create a natural monopoly. Except in Microsoft's case, the cost of switching is the only risk. In that case it is usually easier to create an oglopoly - a group of companies who work lock out competition - with low switching costs but the benefits of a monopoly and an illusion of choice. I can raise prices since the oligopoly can use undersell you temporarily at unsustainable levels to prevent competition. (Again, there are anti-trust regulations required to prevent that.)
Oddly enough, this is similar to the Democratic verses Republican party system. You have the illusion of choice but you are forced to buy something you don't want at a price you shouldn't have to pay.