I really don't think it's likely, but I suppose what "break up" means in practice is a crapshoot.
Many of our current, data & user centric monopolies are more complex. Price setting, monopoly rents and economies of scale exist, but they're often not the main point.
"Economies of scale," for example, tends to work backwards these days. Google & FB have access to a ton of advertiser-relevant data, and a ton of users. That makes one unit of Google output better, not just cheaper. The dollar value of a Google of FB ad is much higher than MSFT's or a 2nd tier social network.
It might also be cheaper to run, because of economies of scale. Often though, that's very "in theory." IRL, FB probably spends more per user than most of their competitors. They have it to spend. Reddit is a competitor to FB, for example. The defining aspect of "scale" in their rivalry is not that FB can spread their costs across more users. FB makes many times more revenue per user, because they are bigger.