LM collection Consul Health /Metrics

The answer to any question like "can LM monitor X?" is almost always yes. Because the real question is whether or not the data is monitorable. If it's monitorable, as in there is an API that can be accessed from your Collector, then it should be doable in LM. 

The first step is to identify the requirements for getting into their API and fetching the data you're interested in. Then script it. A Groovy script is easiest to bring into LogicMonitor, but it could be Powershell, or any other language (provided the Collector can interpret that language). Once you have a script that will pull the data from the API and print it to the screen, it's just a matter of changing the print statement to output to the proper syntax and drop the script into a Datasource.