It's definitely possible, with differing levels of complexity and feasibility depending on exactly what it is you want, and the restrictions you place on it.
Probably one of the simplest ways to go about this, if you don't have a problem with the method in App2 being public, is to simply create a web service exposing that method and call if from App1.
If you want App2's method to be essentially "protected", so that it can be called by App1 but not by public clients, then there are several alternative options. Firstly, you could use firewalls or equivalent to prevent external requests to the service URL. Alternatively, you could expose the method through some form of interprocess communication; RMI would be the obvious native one for Java (set up an RMI method in App2 and export this through a manager, then obtain the reference in App1 and invoke the method remotely). Depending on exactly what it is you want to do, you may be better off with a framework that does all this under the covers; e.g. distributed objects through something like Terracotta.
You should give more detail in your question, though - currently the only thing you've really specified is that you want to call "a function" in App2 from App1. There are dozens (if not hundreds) of ways to go about this and the best one(s) will depend on the details of what you're trying to do.
EDIT (in light of comments): It's not the details of what you want to do that are lacking - I understand fine that you want to call some method in App2 from within App1. It's more the architectural details - what languages are both clients coded in, what libraries are you using to do the web services, are both clients on the same machine or separate ones (and if same machine, same JVM or not), are there any firewall issues that could inhibit certain kinds of connectivity, are there any office-political restrictions that could inhibit your options, are there any security restrictions that could do the same (such as whether you can expose the functionality of App2's method publically or not). All of these will shape what is possible and what is optimal - because at the end of the day, all networking is basically I want to use resources on that remote computer from here. Without more architectural specifics, there are literally dozens of ways that you could achieve this.
Regarding exposition: You would create a web service to expose App2's function in the same way you would create any other web service (with the details being dependent on the tool/framework you're using). As an example if you're using a tool that supports the JSR-181 annotations, you'd write a method in App2 that performs this function, and annotate it with @WebMethod
. Then you'd ensure that if this method is not part of an existing webservice class you'd annotate its class with @WebService
. I was presuming that since you already have a couple of web services, you'd know how to write/define them.
As for accessing the web service from App1, this can be done quite simply by a Java SOAP client. A tool such as WSDL2Java can create a stub class modelling the remote service that you can call; alternatively you can get a richer interface with something like CXF.
What WS library are you using currently, and what errors have you encountered when trying to use it to perform this interaction?