Yes, but that machine is quite a whole lot newer than an old X200. It's from 2012, X200 is from 2008.
Be careful though as anything over 4 years old can be DOA as the batteries slowly discharge and the BMS in the battery itself disconnects them permanently for safety. This applies to ones Lenovo sell as well. I found this out when I bought the above but the seller sent another one out FOC. I dismantled the dead one, pulled the 18650s out and charged them up standalone and they were fine. Free cells!
But the seller was cool enough to change it ( getting 4-5 hours ) and a smaller one which gets me around 2 hours more.