You should be able to do both. Take a look at the April 2014 "Running Times", page 22, which specifically addresses this general question. I hope you run the rest of the year too. You may find it beneficial to start doing one longer run each week, getting to 10 or more miles a couple weeks before your half. Also rather than running "every morning". I hope you consider cross-training or resting at least one day a week.
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