Learn English – Adjective meaning “that can be tied”

The New Oxford American Dictionary, Oxford English Dictionary, and dictionary.com reports delegable as derivative word of delegate; none of them reports delegetable as English word.

The phrase sick and tied appears to be either a typo (Theory 1) or a portmanteau of sick and tired and fit to be tied (Theory 2).

For theory 1, @MrHen points out that "Roughly the first page of hits I saw via Google all corrected the typo the next time the phrase was typed."

Looking at the Google results for the search: "sick and tied" phrase yields the following example to support theory 2:

We are sick and tied of seeing phone books printed, packaged and shipped - only to be put on our curb then in the landfill.

Something that you are sick and tired of could indeed leave you angry and agitated (fit to be tied), so it is possible that the two phrases became linked in some minds, leading to the sick and tied phrase.