You might be a candidate for LASIK, you might not. It really depends on the characteristics and health of your eyes. Primarily, your corneal thickness must be sufficient to allow this amount of correction (higher prescription dictate more corneal tissue removal). The thickness of your cornea can be measured at an exam. The shape, or topography of your cornea is also important. If you have an unusually shaped cornea, LASIK may not be a good option.
If this is the case, sometimes PRK (surface ablation) would be an option, and sometimes a lens-based procedure such as an ICL or Refractive Lens Exchange (RLE) would be best. If your corneas are flat, LASIK would flatten them even more, which could lead to quality-of-vision problems postop. In this case, a non-corneal procedure such as an ICL or RLE would be preferred.
If you do have LASIK, a wavefront ("custom") treatment would be helpful to reduce your risk of night side effects such as halos and glare. These side effects are more common in patients who start out with extreme prescriptions, so anything that can be done to mitigate this risk is helpful.
The general health of your eyes is important as well. If you have cataracts (clouding of the lens inside the eye), usually an RLE procedure is a better option than LASIK. I don't know how old you are, but cataracts generally develop in your 60s, but in extremely nearsighted patients, they tend to develop about 10 years sooner.
In short, a thorough examination with a refractive surgery specialist (a surgeon who offers ALL types of refractive surgery) would be your best bet to determine which procedure (if any) might be best for you.
Hope this helps.