Maybe but nobody knows how much amplification you need. If you aren't getting any readings without the amplifier, probably nothing is going to work. 
(When you have a very-weak signal, a lot of amplification ends-up amplifying lots of noise.)
You will have to bias the AC audio output from that amp (2 equal resistors).
If the vibration is in the audio range you can connect a speaker to the LM386 and hear if it's getting picked-up and amplified.