You can copy modifiers from one object to other objects with CtrlL> Make links > Modifiers, or the Copy attributes addon.
However, is it possible to apply modifiers to many objects at once?
You can select all of the object you wish to apply the modifiers to, then press AltC> convert to mesh:
Some modifiers have different values for View and Render.
This will apply the View settings.
One very easy way to do this is to use the Convert To command:
If you have curve objects that need to stay curves, then use Convert to Curve
ALTC -> Convert to -> Curve from Mesh/Text
If you have mesh objects that need to stay meshes, then use Convert to Mesh
ALTC -> Convert to -> Mesh from Curve/Meta/Surf/Text
This will automatically apply all modifiers at once: