Yes. For students who have completed the Texas 42-hour core requirements and are officially "core complete," it is required by law that the receiving Texas public institution accept the core credit block. However, it may still be necessary for students to take other courses required by their particular college major, making some dual enrollment courses "electives" or otherwise irrelevant to the achievement of a degree.
We highly encourage both in-state and out-of-state students to work closely with the college or university they plan to attend to be sure the courses taken will apply to the chosen degree plan.