Generally speaking, yes It is pretty Safe, as long as you don't have one of four major contraindications:
1) Your cornea must be thick enough to sustain the necessary sculpting.
2) Your pupil diameter cannot be too wide, or else the cut required in the surgery will forever make you see a halo in your field of vision.
3) You cannot have any severe trouble/defect in producing tears/normal hydration of the eye.
If you have dry eyes, you may not be a good candidate for LASIK.
4) You must not have any type of corneal pathology ( like infection, dystrophy, etc.)
However, there are specific risks that individual patients may be at greater/lower risk for depending on their set of circumstances (degree of lens correction required, astigmatism, family history, etc.).
The key is finding a qualified ophthalmologist who can assess your specific risks after conducting some tests and is honest about whether or not you are a good candidate. If you find an ophthalmologist who refuses to perform LASIK on you, chances are that chasing after another who will is not the best idea.
Another thing to keep in mind is realistic expectations. LASIK is not some sort of magic end-all-be-all solution that will completely resolve everyone's eye problems. For some, it works wonderfully, but for others, it's not perfect.
Hope this helps.