I have a scapholunate ligament tear distance of 5mm according to an mri. this injury is chronic, is there any other options other than surgery. ?

Yes, but 5 mm is big: Splinting the wrist, & anti-inflammatory drugs (like naproxen or ibuprofen) can be tried for nonsurgical care of scapholunate dislocation. But you may still have pain when gripping objects. Also, 5 mm is a rather large gap, & so may not heal. For *very* large gaps, there's no option other than suturing (surgery) the bones together. For smaller gaps, an arthroscopic pin or other implant can be used