No — and trying to is one of the fastest ways to end up injured or sick of it.
Your fitness doesn't actually build during the run. It builds in the recovery afterwards, when your body repairs and adapts. Skip that and you're just accumulating fatigue. For a new runner, three runs a week with rest or easy walking in between is plenty to make real progress.
Running every day is something experienced runners build up to over years, with easy days that are genuinely easy. As a beginner, more rest isn't laziness — it's part of the training.