Generally, yes. In speech, you can describe any problem with pain as an ______ache.
When we do this, we are creating what are called COMPOUND words.
However, most of those associated with _________ache are compounded due to the frequency they appear. So they are written as a single word such as "headache".
In writing however, they may often be written as two words instead of a compound.
For example, in writing, I might indicate that I have an "arm ache" rather than an "armache".
Or, I might write or say it this way: "My arm aches." "My toe aches."
The alternative is to say. "I have pain in my upper arm." "I have pain in the ball of my foot."
"I have pain in my right ear."
I have never heard anyone say; "I have a nose ache." Neither have I seen anyone write to indicate they have a "nose ache".