No. It can spoil fast and you don't want the flavors of the oil to be in another dish you cook. It is best to replace the used oil with fresh every time.
Most fast food places reuse the oil for at least a week even though it needs to be replaced daily or every time something goes in the oil. For example, when placing French fries and chicken nuggets in the oil to be fried, that oil should be replaced each time to avoid mingling flavors. This is why McDonald's, for example, have constantly greasing fries instead of crispy fries.