Maybe. Social Security sets the maximum amount that you can be making at the time you apply for benefits at $1090 a month, or $1820 if you are blind. If you are making more than that, you will not be eligible to apply for Social Security Disability Benefits.
Once you apply for SSDI and are given the benefits, you are given a 9 month trial work period to see if you can continue working. During the trial period, you will receive your full Social Security Benefits, regardless of how much you earn, as long as you report your work activity and continue to have a disabling impairment. After the trial work period is over, you have 36 months that you can continue workings and receiving benefits, so long as you are not earning what Social Security considers substantial gainful activity. In 2015, Social Security considered your earnings to be a substantial gainful activity if you were making more than $1090 a month, or $1820 if you are blind. Be aware that the figures for what is considered substantial gainful activity change every year.
If your benefits stop because you are earning above the substantial gainful activity amount, you will have a five year period in which you can ask Social Security to reinstate your benefits immediately if you find that you are unable to continue working because of your condition. You will not need to file a new disability application, and you will not have to wait for your benefits to start while your medical condition is being reviewed to make sure you are still disabled.
Also, if you have work expenses that are related to your disability, those expenses can be deducted from your claimed earnings to possibly bring you under the substantial earnings mark. Expenses could include transportation to and from work, a wheelchair, specialized work equipment, counseling services, and prescription drug copays. These expenses can be deducted even if they also help you outside of work.
For more information, see: 20 C.F.R. 416.971-976 (2015); Social Security Online: The Work Site, http://www.ssa.gov/work (last visited June 4, 2015); Social Security Online, Working While Disabled-How We Can Help, http://www.ssa.gov/pubs/EN-05-10095.pdf (last visited June 4, 2015); Social Security Online, Your Ticket to Work, http://www.ssa.gov/pubs/EN-05-10061.pdf (last visited June 4, 2015).