Usually, yes: for cameras that use a 2.5mm stereo mini-jack remote, the wiring is commonly the same across many brands. The typical pinout is:

• tip = full-press / shutter
• ring = half-press / focus
• sleeve = common ground

Most simple wired shutter remotes are just switches that connect these contacts to ground. A half-press shorts the focus line to ground; a full-press shorts the shutter line as well. That means many low-cost remotes are interchangeable if the camera uses this same jack and pinout.

However, they are not universally identical. A noted exception is some Panasonic cameras, which use one signal wire plus ground and distinguish half-press vs full-press with different resistor values. Cameras with non-mini-jack connectors may still use the same three functions internally, but arranged on a different plug.

So if your camera uses the common 2.5mm stereo remote standard, the remote is likely very simple and repairable with basic continuity testing and rewiring.