With the right connectors on each end, you would be able to use a C13 outlet (maybe something like Cisco CAB-C15-CBN= ), but bear in mind that PoE switches use C15 for a reason - it's uprated to take the potential extra load / heat.
Whether you need C15 or not is switch model-dependent (e.g. I just checked and my MS210-24P don't but my MS350-24X do). But bear in mind: C15 cables will work with either but a C13 cable won't plug into a switch expecting C15.
Any hot-cold power cable will do for an MS120. As mentioned above the switches with removable power supplies and PoE required the notched connector (C15) at the switch end due to them being in the exhaust flow. The cable is also a slightly rougher material as it can withstand higher temperatures that may be present in those areas. Again, if you ever need those cables they are commonly available from most suppliers.