No, you cannot calculate that with only these parameters.
Think about the relations between the parameters of the voice coil you list:
- coil diameter
- wire diameter
- wire resistance
- number of turns
And how that relates to the maximum power handling capability.
Suppose a certain voice coil can handle 50 W, what happens when I put 100 W into it? I think it will get hotter compared to the 50 W situation.
But how hot is OK? That isn't listed anywhere in the parameters for the voice coil. The coil itself is OK until the copper starts to melt. But I'm sure that at much lower temperatures other things had heat issues already like the material we're winding the coil onto. Some voice coils are wound on an aluminium tube which will help in dissipating the heat. That would increase the power handling capability of voice coil. But hey, you didn't list which material is used for winding the voice coil onto.
Also, if the voice coil is allowed some movement (like in long-throw speakers) that moves the air around the speaker which also helps in cooling.
If you're using the speaker in a free air, a closed enclosure or a bass reflex enclosure that will also have a significant impact on voice coil movement and therefore cooling and therefore power handling.
See how I got from just the voice coil to the complete design of a speaker?
That is because it is not only the voice coil which determines the maximum power handling capability, it is the complete design.
If you look up datasheets of loudspeaker drivers (so the speaker themselves, not a finished box with a speaker in it) then in a proper datasheet you should find the maximum power handling capability listed with a note saying how that's measured like what volume of enclosed box the driver was mounted in.