Yes. When you use Exporter in a module, it inherits a standard ->import() sub from Exporter, so your module does then have an import method even though you didn't define it yourself.
in reply to Re^6: Can I retry "use" when module load fails?
in thread Can I retry "use" when module load fail ?
All Exporter really does is make symbols available to be imported. Nothing actually happens until the useing module calls import to specify which of the available symbols it wants to import. (e.g., use POSIX 'ceil'; to import only the ceil symbol from POSIX.)