WARNING: a “dummy merge”, as is recommended by @Martin_Geisler, can really mess you up, if later you want to do a true merge of the two branches. The dummy merge will be recorded, and say that you merge into the branch you did the dummy merge to — you will not see the changes. Or if you merge into the other branch, the changes on that other branch will be undone.
If all you want is to copy an entire file from one branch to another, you can simply do:
hg update -r to-branch
hg revert -r from-branch file
hg ci -m 'copied single file from from-branch to to-branch
If you want to select different parts of that file, then "hg record" is useful.
I just did this on my home directory .hgignore.
If both branches have made changes to a file that you want to keep, a dirty trick would be to create a merge of the two branches using hg merge, possibly/probably on still another branch, check that in, and then copy a single file between the merge and the to-branch:
hg update -r to-branch
branch merge-branch
hg merge -r from-branch
hg ci -m 'temp merge to be discarded"
hg update -r to-branch
hg revert -r merge-branch single-file
hg ci -m 'merged single-file from from-branch to to-branch"
hg strip merge-branch
It is worth mentioning: the way to “copy a single file between branches” (or revisions, or from revision to merge, or….) is “hg revert”. I.e.
hg update -r Where-you-want-to-copy-to
hg revert -r Where-you-want-to-copy-from file-you-want-to-copy
...
hg ci
For some reason I, and some of my coworkers, find this VERY confusing. “revert”==”copy” … makes sense for some usage patterns, but not all.