Add an extra field when defining a text type user profile field that contains link information to be used when data is displayed in a user's profile. Use a "$" wildcard to be replaced with the user data.
eg Admin sets up link as "http://google.com/search?q=$"
User enters data into this field such as "rabbit"
Then the relevant field on their profile page will be rendered as <a href="http://google.com/search?q=rabbit" target="_blank">rabbit</a>