If you completely trust the place that installed the tires then you don’t necessarily need to. One problem is that the wheels are supposed to be torqued to a particular specification and uneven lug nut torque and over or under torque can create real problems with, for example, your brake rotors. A lot of shops just whack the lugs back on with an impact. Out of that you normally get too much torque and uneven torque.
On anything but steel rims it is also the case that the torque specs tend to be on the low side. After its been driven a while its a good idea to make sure that they are still all torqued to spec.
If you don’t have a torque wrench though then there isn’t much you’d be able to do with it other than make sure that none are loose.