This may come as a surprise to you, but yes – most likely. You can apply for both conventional and FHA loans even if you plan on doing all of the labor yourself; it will just take slightly longer to get approved since there is an increased risk involved in lending money to people who aren't paying someone else to do work for them.
The only real difference comes into play when your contractor submits their “soft cost” estimate upfront after which time they have 30 days to resubmit their more complete “hard cost estimate” for each phase of the job (foundation, framing, etc).
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If the total amount doesn't exceed that soft cap then you move onto appraisal which is the same for anyone else getting a loan. If it does exceed that soft cap then you are required by law to get additional private mortgage insurance (PMI) in addition to your regular payments, which could cost around $100/month extra per $100,000 borrowed.