I'm setting up a personal page, and I would like to display my past work experiences and other data I have on linked-in so it is automatically updated when I update my linked-in profile. Is this possible without having to do oauth? I just want my own data.
No.
As the company says on their REST API page:
In order for your applications to access LinkedIn member data and/or act on their behalf, they must be authenticated. LinkedIn relies on the industry standard OAuth 2.0 protocol for granting access, due to its simplicity and ease of implementation.
See also this previous SO question.
This doesn't mean, however, that OAuth can't be handled for you:
As a convenience, if you are developing a front-end JavaScript or Android application, we provide SDKs to handle the authentication process for you.
Additionally, there are several 3rd party libraries available in the open source community that abstract the OAuth 2.0 authentication process for you in every major programming language.
As for the major languages they support, LinkedIn provides walkthroughs in PHP, Python, and Java on their API Get Started page.