Only if you limit the number of years to 4004 BC to present.
That's plenty of time! Creationists have told us so!
At least John Woodmorappe (a pseudonym) thinks so. He wrote the following on the Answers In Genesis website:
As pointed out by other creationists [e.g., Lubenow], Homo ergaster, Homo erectus, Homo heidelbergensis, and Homo neanderthalensis can best be understood as racial variants of modern man—all descended from Adam and Eve, and most likely arising after the separation of people groups after Babel.
As noted over on the Darwin Central blog:
[This] change from modern man to Homo ergaster would require a rate of evolution on the order of several hundred times as rapid as scientists posit for the change from Homo ergaster to modern man! This is in spite of the fact that most creationists deny evolution occurs on this scale at all; now they have not only proposed such a change themselves, but see it several hundreds of times faster and in reverse! [emphasis added]