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No, you cannot. If you do, you will receive letter from IRS about it.
Or should I say, you are not suppose to. Here are some suggestions what to do if you didn't get the form: http://obamacarefacts.com/2015/03/12/didnt-get-1095-a-or-ecn/
If your tax preparer is willing to work with you and recreate information, you can try but expect IRS to ask question and I may take much longer to process your return. I would suggest to try to get the form before trying to file without it.