That depends. There are several situations where that is entirely permissible.
Section 22.102 of the Texas Business Organizations Code (TBOC) controls
Section 22.012 provides that:
(a) The initial bylaws of a corporation shall be adopted by the corporation's
board of directors or, if the management of the corporation is vested
in the corporation's members, by the members.
(b) The bylaws may contain provisions for the regulation and management
of the affairs of the corporation that are consistent with law and the
certificate of formation.
(c) The board of directors may amend or repeal the bylaws, or adopt new bylaws,
this chapter or the corporation's certificate of formation wholly or
partly reserves the power exclusively to the corporation's members;
(2) the management of the corporation is vested in the corporation's
(3) in amending, repealing, or adopting a bylaw, the members expressly
provide that the board of directors may not amend or repeal the bylaw.