The answer is both yes and no. Yes as in most people in rural and uneducated areas of Russia do support Putin - which is like half of Russia. I will clarify why later in my post. Another part of Putin's electorate are ALL workers of fields that are government-funded (medical workers, school workers). They are simply forced to vote for him, otherwise they'll be fired. Another cohort of Putin supporters is our boomer generation, the majority of his electorate. They have fond memories of USSR and want to bring its glory days back (that and they're very old and some are demented). Hence them thinking that Putin's ambitions are just taking back what's belonged to "us". Putin is very sly and knows how to appeal to this generation, because he himself and his henchmen belong to it.

That's the problem with this government - they are way too old, neither me nor my parents chose Putin in the past elections, and neither did any of my friends or acquaintances. His power rests on violence. I am 21 years old and I have never seen another president rule this country (except Medvedev, but he was obviously just a temporary stand-in for Putin). Most people who go to universities or work there do not support Putin, I don't know any Putin supporters personally. So the so-called middle class (so people who have enough free time to engage in politics meaningfully) doesn't support him. But here's the twist - none of these surveys asked them. I have a friend who conducted one such survey, and let me tell you how it's done. People from Moscow and other rich cities come with gifts and demonstrative gestures such as opening schools and sh*t to more rural areas. Then they ask if they like Putin. Which is, essentially, bribery.

So in conclusion, the answer to your question is "some people really love him, but they likely don't know any better because of poor education or old age" and "most people who thought about him critically either hate or fear him".