Yes, you can. The how depends a bit on what OS each machine is running. But the basic approach would be to somehow share that log directory over the network and then either mount that share on the Splunk server and point a Splunk monitor input at the mounted share, or point a Splunk monitor input directly at the share path (e.g. \servername\share for typical windows SMB shares).
An alternative would be to install a Splunk universal forwarder on the system where the log is located, have that UF monitor the log locally and forward to the Splunk Enterprise server.
