Note that the input voltage offset, which for a specific physical device (a single one) varies mostly with temperature, is only one of the non-ideal characteristics that are modeled as an input voltage at the input pins.
Does it vary with time or supply voltage etc?
Power supply rejection ratio can also be modeled as a variable input voltage offset, so yes.
Common mode voltage gain is another example, as well as imbalance caused by offset current through large input resistances.