You really zipped the web directory of the application?
Then I should say: Yes.
In total your web directory may contain about 30000 files.
And there are really big ones, e.g. the font files.
Have a look at the assets and especially at the tmp/asset folder.
That seems a bit large for a single survey.
This doesn't depend at all on the number of surveys or questions. These are mainly stored in the database. Only some resources of surveys (images,...) are stored in a folder of the web space.
So to copy an installation:
Install this version on the other machine, and copy the
"upload" folder
"plugin" folder (if you installed further plugins)
and the adapted "config.php" in "application/config". Here you have to adapt the credentials of your new database.
Joffm