As all high government officials require the consent of the Senate, would it be possible for a opposition-held Senate to continuously reject the nominations by the President?
Senate confirmations only require a simple majority vote as shown in this document:
Under Senate Rule XXXI, the final question on a nomination is, “Will the Senate advise and consent to this nomination?” The Senate has three options: confirm, reject, or take no action on the nomination. Confirmation requires a simple majority vote.
So, if the Senate is controlled by the opposition party to the presidency, what would happen if they continuously reject all presidential nominees.
Note: I'm not asking about any particular presidency, so any example would be fine; it doesn't have to be related to this year's election. It's improbable that it would happen this year since both the Senate and the presidency are held by the Republicans.
Evidence or examples are greatly appreciated.