No. There are *extremely small*
quantum fluctuations in density/temperature, which were enhanced during/by inflation. Basically, there is very small randomness due to quantum mechanics, and the density distribution during inflation was essentially 'frozen in.'
Side note because the terminology is confusion, there are two separate similar terms: **expansion** and **inflation**. Colloquially they have similar meanings, but in the context of cosmology they are different.
* Expansion just refers to, well, expansion. We can measure it in various ways, and by fitting data to models have a pretty good idea of the expansion rate going back to just after inflation ended.
* [Inflation](https://en.wikipedia.org/wiki/Inflation_(cosmology)) is a period of extremely rapid expansion just after the Big Bang. In a fraction of a second (much shorter than any timescale we can measure) the Universe multiplied in scale many times. This was initially devised as a mechanism to resolve several issues unexplained by the standard cosmological model, including the fact that the early Universe (even after inflation) is very uniform -- this is referred to as the 'horizon problem'. There are some observables predicted that we can use to test inflationary theories, but they are tough and current results are inconclusive.