Can they ban the bicycle?

I am looking to buy an apartment and have noticed a strange amendment to the by-laws. It reads:

You must not keep any animal (e.g. dog-cat, etc.,) on premises (exception Guide Dog). Further, no bicycles are to be allowed on premises either in your lot or the common area.

I can understand restricting pets, but bikes?

Can the Owners Corporation really stop me keeping an inaminate object in my bedroom?