Short answer: Yes.
Long answer: Yes, but it's more on the edge (depending on what you're doing). It depends on what your needs are and what kind of 4k recordings they are, as well as on the software: Da Vinci Resolve, for example, does not support GPU accelerated H.264 rendering in the free version, which slows the whole thing down - so there could be problems (judder) with highly compressed recordings (e.g. from drones, mobile phones etc.).
However, if you have the Pro version, for example, it should be sufficient without any problems in this scenario.
Basically, you can say that it should run smoothly, but in certain situations it can lead to stick core etc. (e.g. with effects). (e.g. with effects, special transitions, etc.).
What software do you use and what kind of camera do you have?