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What I want to ask is, if this boycott is successful, will it affect the peace between Russia and Ukraine...!
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Probably it can somehow affect the peace between the two countries, not directly though. Think of it, if Russian online casino has been successfully boycotted by the gambling community, the tax/revenue that the government are getting from these casinos (Players/owners) will be lessen. Funds less, less armory, etc. That is if Russian government is getting something from Russian casino owners. Or if they are being taxed. If no, probably it won't have any effect on the peace between Ukraine and Russia.
It may not literally stop the war that is happening now in Ukraine and Russia but somehow this can be a sign for Russia that many country is not favor in what they are doing and it will affect their government economy even a little. Boycotting can hurt their economy and hopefully Putin will rethink his movements for peace rather than war even we know that they are prepare on what ever sanctions, boycott that will happen in them. This sanctions and boycott will stop Russia to think of invading other countries other than Ukraine.