Official comment
For FX, yes! You can apply any of the FX to the sampler simply by selecting the S button as the source channel:

As for the EQ, It does depend a little bit on the hardware you're using as some (with an external audio mixer) will allow you to route the audio to either the dedicated sampler output, or one of the mixer channels, in which case you'll have the ability to use that channel's EQ controls.