Real-world deployment of quantum technologies requires systems in low SWaP-C packages. Quantum platforms based on ultracold atoms typically trap and control atoms with optical tweezers using light focused through bulky objective lenses, which are costly and sensitive to misalignment. Multimode fibers (MMFs) offer a compact route to focusing light, but their use in forming optical tweezers for cold atoms has been limited to a single fiber. Here we use a 2x1 MMF fused coupler to obtain two independent control paths sharing a common distal facet. We form near-diffraction-limited tweezers through each channel, suppress interference by applying a small frequency offset between the channels, and demonstrate that the tweezer separation is insensitive to misalignment of the input coupling. This work provides a route to reconfigurable single-atom arrays in low SWaP-C environments.