Only if you don't believe time started (which Boltzmann found unconvincing.)
The notion of Boltzmann Brains relies on Boltzmann's original notion that the low-entropy nature of our universe (and its tendency to therefore increase in entropy whenever possible) is part of an eternity of random fluctuations in entropy, going back and forth.
But an infinity of anything often leads to various logical problems. In this case, almost-zero-probability outcomes like functioning, disembodied brains deluded into imagining an entire lifetime would actually happen over and over again during any eternity.
In fact, statistically, very short periods dominated by almost-zero-probability outcomes would become more common than a sustained period of normal behavior when time could apparently flow forward, which results only when entropy changes continuously in the same direction for an extended period.
The extraordinarily low level of entropy that can then slide into a long-term complex-yet-organized universe would have to get past the same level of order we are currently at, on its way down, and then keep going for a very long time. And that is just not going to happen very often.
So over such an eternity a Boltzmann Brain existing for some vanishingly short period of time might happen more often than there would be a stream of ordinary time necessary for our remembered history to really occur.
But the alternative theory involved a definite start of time, and this theory was advanced before people found a beginning to time easy to imagine. Given relativity, and the new theories of spatial expansion, we now accept the Big Bang as a likely event. The Big Bang would necessarily create a case of zero entropy -- when all the energy is in the smallest space that allows for energy to be expressed, it would necessarily be perfectly packed, and therefore have zero entropy.