Operating / pin voltages ATTiny chips
Yes.  As given in the datasheets, normal ATtinyX4/X5 chips can run with a supply between 2.7 and 5.5V inclusive, whereas the low-power versions can run between 1.8V and 5.5V. Mind the speed restrictions when running at lower voltages though; see the "Electrical Characteristics" section of each datasheet to determine the maximum characterized speed for a given voltage.