No, and for a simple reason. From a service point point of view, many web services block Iranian ISPs. I'm projecting here, but since you can't even download Google Chrome from its official website where I live, I assume it's the same situation for Iranian IP addresses too. Also in addition to blocked downloads there are also subscription-based sites which block them too, so to put this in concrete terms, you can't buy most of the Amazon, Adobe, Netflix services among others if you live there. I'm sure there are hundreds more that I can't remember off the top of my head.
If they suddenly plan to use cryptocurrencies to evade these sanctions, which means a prohibition of doing business with the country's residents, they would need a lot of third-parties to resell these items for them, in cryptocurrency instead of paper money. And the reselling part by itself is hard enough because such third parties would have to provide a lot of proxies not based in Iran to interface between the sanctioned services and devices located in Iran.
And clearly sanctioned governments like Iran aren't interested in doing something like this because they mostly perform activities that benefit their own government, not the general public. Same reason why most sanctioned countries do some of their own internet censorship on their own people, a double-sanction as I like to call it.
The Iranian government indeed limits internet access especially when it is felt that internal conditions in Iran can cause instability, ease of internet access can incite coordination of riots by citizens as happened in November 2019. While for sanctions, experts and policymakers doubt the ability of sanctions to achieve political change in Iran, by conducting a cost-benefit analysis of possible economic sanctions by exploring in more detail the commercial climate and the commercial relations that govern it.
Iran's economy revolves around energy namely natural gas and crude oil. Since 1996, when the US government unilaterally issued sanctions on Iran and Libya (ISLA), Iran has expanded its commercial relations with certain partners namely the European Union and the People's Republic of China as well as Syria, Venezuela, Cuba, and India. Economic sanctions 2018 Russia and China, have intervened in a fundamental political role, ensuring closer economic relations. Russia and Iran have the largest natural gas reserves in the world and have developed strong economic relations in an effort to utilize their endowments.
Although it supports sanctions by the UN security council, Russia also continues to actively cooperate with Iran in the military sector such as air missile defense systems, to incentivize the safety net it needs to seek uranium enrichment. the two countries are also active in the exchange of scientific knowledge, for years, Iran has allowed Russian and Ukrainian scientists to freely enter Iran so as to achieve self-sufficiency in ballistic missile production.