The antonyms for the phrase "beyond one's grasp" are accessible, attainable, within reach, and conquerable. When something is accessible, it is easily obtainable, and within reach of the person. Attainable refers to things that can be achieved, or something that can be acquired with effort. Within reach, on the other hand, implies that something is near enough to be obtained or achieved without undue effort. Conquerable, on the other hand, means that something is conquerable or as if could be conquered. These antonyms can be used in a variety of contexts, from career goals to personal dreams, emphasizing that what was once unattainable can now be achieved.