No. Sec 44AD is not applicable to LLPs, hence cannot use ITR 4.
Section 44(ad) provides special provisions for computing business profit on presumptive basis from the assessment year 2011-12.
Conditions - The provisions of section 44AD are applicable only if the following conditions are satisfied-
Eligible Assessee - The assessee should be and eligible assessee. Eligible assessee for this purpose is person resident in India who is individual, a Hindu Undivided family or a partnership firm, (not being a limited liability partnership-LLP)
The first condition itself disragard the LLP from benefits. LLP can not file returns by taking benefits of section 44(AD).