Technically no, the MPC muting works by cutting any sustained notes and preventing new ones from triggering - it doesn't actually mute the sound in the same way a DAW does.
When you unmute, a sample won't start up in the middle.
Depending on what you're trying to achieve, you could use the mixer function and Q sliders to quickly turn the volume down. If you're trying to arrange a dropout in a recorded sequence, you could extract a copy of your sample, set the start point to where you want it to start back up and then record that into the sequence (original sample; mute pad; new sample). This would have the effect of making it sound like the sample dropped out and then came back in as if you muted the volume.