There is no shorter version of bitcoin addresses that we can easy memorize but what we can do is to save online somewhere like this one beetxt.com/OBi and it is enough memorable and easily accessible.
I don't think it is a problem since you can't transfer bitcoin without electronic devices, and with them you can store and remember any number of addresses.What it would be neat, however, is implementing bitcoin transfers directly in popular messengers or social networks. But I guess it would be paradise for spying eyes of the government agencies.