No...LSD is not addictive and it's also really difficult (or maybe even impossible) to overdose on. You build up tolerance to LSD very quickly, which means that you can't take it regularly or you'll cease to see effects. Research has shown that LSD doesn't result in compulsive use.
That doesn't mean that LSD is safe--it has potent psychological effects that can be very unpredictable from user to user and even use to use. The effects of LSD are long-lasting, which can be pretty horrible if you end up having a frightening or negative experience.
Click Here to search for a treatment center in your state that is right for you.