Can I use a wireless remote shutter release and flash at the same time?

Yes. A hot-shoe-mounted remote receiver does not necessarily have to stay in the hot shoe—it’s often designed that way simply because it’s a convenient mounting point. You can attach the receiver elsewhere on the camera or support using Velcro, straps, or similar methods, leaving the hot shoe and built-in flash area free.

Another option is an optical remote release, if your camera supports it. These use the camera’s built-in remote sensor, so no receiver needs to be attached to the camera at all. That means you can still use the hot shoe or built-in flash normally. The downside is that optical remotes usually need line of sight to the camera’s sensor, or a good reflected path indoors.

So yes—using a remote release and flash together is possible, either by mounting the receiver somewhere other than the hot shoe, or by using an optical remote system if your camera supports one.