Probably. Do you know of a syslog/forwarder that deals properly with intermittent connections? (i.e., available for an hour, then gone for an hour, then available again, etc.)

Not sure about logstash but a lot of its users use NXLog (http://nxlog.org) as a shipper since it has a much lower resource footprint as there is no java and ruby in there. (I'm affiliated with NXLog.)

Syslog-NG PE works well for this. It can be configured to use a per-destination disk buffer, so that if the destination goes offline, messages will queue until they can be sent again.