Yes. It is possible.
You can use the search() method in org.springframework.social.linkedin.api.ProfileOperations
LinkedInProfiles search(SearchParameters parameters)
Set the firstName and/or lastName attributes in SearchParameters object.
Sample code:
SearchParameters searchParameters = new SearchParameters();
searchParameters.setFirstName("first_name");
searchParameters.setLastName("last_name");
LinkedInProfiles profiles = linkedinApi.profileOperations().search(searchParameters);
Hope this helps. Let me know if you have any further questions.
Praveen