No, it can happen at any mode, so it is not a contrast between HILIC and ANP. Of course retention can change with concentration from two sources.
All separation processes follow a “Langmuir model“; when a column is overloaded the retention time will decrease.
Also, if the sample comes from a complex matrix as you inject more of the sample the other components can adsorb on the stationary phase and cause a change in retention time. The larger the sample injection, the greater are the chances that this can occur.
So in an application using two different amounts of sample one will see that the column is not overloaded or affected by the sample matrix.