I need my user’s work history via LinkedIn. Can i get this data?
LinkedIn has all the API’s to get this data 
Bubble can easily connect to API’s
The challenge you have is to get approved by Linkedin to access their API’s. Read about that here https://learn.microsoft.com/en-us/linkedin/shared/authentication/getting-access
In my experience, it is not automatically guaranteed that your use case will be approved by Linkedin and you will get access granted to any of their API’s.