Not according to what our local tax-is-theft basement dwellers say. They assert that any sort of restriction in trading is "interfering with the market." In other words, according to them, the Free Market includes interference with supply-and-demand by restricting the market. And that includes prohibiting a market althogether.
Well a trade restriction certainly can hamper a free market, though usually it has a less noticeable impact than the four I mentioned above. For example, a tariff typically raises the price of a particular good by artificially increasing scarcity. But tariffs are bad for a different reason. Namely, they end up costing more than they supposedly save.
For example, the steel tariffs that George W Bush implemented were designed to save jobs by raising the price of foreign steel. The problem is, it ended up costing our economy something like $300,000 per job that was saved, meaning that while a few steelworker jobs were saved, many more people in adjacent industries probably lost their job. How does that happen? Well for example, steel is used to make cars, and if domestically produced cars now cost more because we are forced to pay a higher price for steel, then foreign cars are more attractive.
So slap a tariff on foreign cars then you say, right? Well, problem with that is sticking tariffs on foreign cars doesn't make our domestically produced cars anymore attractive to say Australia or Canada than Japanese cars. So, the end result is you're going to sell less cars, which means people might lose jobs. Remember, we're operating on a global economy now, so you can't just assume that forcing domestic purchasers to pay more means you're going to make more. In fact, it very rarely ever works out that way and usually results in a big loss, which is why even the most left leaning economists are overwhelmingly against tariffs (this even includes the New Keynesian economists, who are now in opposition to John Maynard Keynes who strongly believed in tariffs.)
For better or for worse though, politicians left and right typically ignore economists.