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No, but it's not unreasonable to want to control the media in a period of wartime, and with the modern rise of the use of propaganda and misinformation as a primary tool for authoritarians.
I'd want to keep an eye on it, but it doesn't really mean that it will be used to limit freedom of the press. I would think it unlikely due to their desire to maintain positive relations with NATO countries and the EU. Abusing it would undermine those goals.
President Volodymyr Zelensky on Dec. 29 signed into law a controversial bill on the media.
The Ukrainian authorities argued that the law aims to bring Ukrainian legislation in line with EU law and fight Russian propaganda. 
Media reform is one of the EU's conditions for starting negotiations on Ukraine's accession to the bloc. The EU wanted Ukraine to adopt legislation to fight the influence of vested interests on the media. >

A quick Google search on this law and it looks like most of the stories I can find that are critical of this law are coming from Russian controlled areas much like this article. >

Kyiv Independent is a Russian news outlet ? You must be joking, right. This law essentially gives total media control to the government. Don’t forget there is election, yes despite the war, an election in 2023. So think what it will give ruling party >

I really don't think that Zelensky is in any danger of losing an election right now. >

Parliament not presidential. He could lose majority. It’s not a two party system >

I am going to go out on a limb and say chances are people are going to be pretty supportive of a government that's managing to fight off an invasion from a supposed super power. >

Not doubting the support for the government. Doubting the fairness and freedom of choice for people and other parties. Media controls A LOT so that can be used  as a tool to seat people’s opinion >

Folks, supporting Ukraine's right to sovereignty and self governance does not mean any criticism of policy means you must be Russian. Likewise "they're fighting a war" is not carte blanche for actions that would otherwise be dangerous and unjust.
See Korematsu v United States, Debs v United States