[Theodore R.]

Members of both houses of Congress cannot be recalled. Nor can members of the Texas State Legislature be recalled or any state official in TX.

[Robert DeLong]

Members of both houses of Congress cannot be recalled.

That is correct.

[Gaffer]

There is, however, a procedure whereby the members of the House or Senate (IIRC) can refuse to seat a prospective member. This was done during reconstruction I believe.