This is just about use of words in a particular context. The OP didn't specify a speaker coil. The term 'drive' is just a general engineering term which means to feed anything with energy. You can 'drive' an LED or Data display of some sort, a relay coil, the output stage of an RF or Audio amplifier. The term is often used when the power level is increased above what would be regarded as signal level.
@JustStudying. I suspect that you are new to the field of EE and there will be a lot of terms that turn up for you which are not formally defined but which are commonly used. This is the same as in many other fields - Sport, Computing, Music etc.. Get immersed in the topic by reading all sorts of stuff and they will begin to mean something. If in doubt and if you can't Google a meaning then get a clue from the context. If you stick to proper textbooks, you will encounter less jargon but miss out on the 'flavour' of the subject.