Yes, you can save contacts from LinkedIn with InTouchApp Extension for Chrome & Firefox.
Before you proceed, you need InTouchApp installed on your phone & InTouchApp Extension installed on Chrome or Firefox. Learn more.
How to Save Contacts from LinkedIn :-
Step 1 - Log in to your LinkedIn account
Step 2 - Open the LinkedIn Connect's profile whose contacts details you want to save
Step 3 - Click on See contact info
Step 4 - Then click on SAVE CONTACT button. (Note: if you do not see SAVE CONTACT button, your extension is not working as expected.
Step 5 - Select if you want to add as ADD NEW CONTACT or ADD TO EXISTING, fill in the details and click on SAVE CONTACT button.