No, it’s not. LEGO and Mojang are not owned by the same company.
LEGOs have multiple sizes and shaped. Minecraft is just square 1x1x1 meter blocks. This is what causes confusion. Since LEGOs are building bricks and Minecraft is just blocks, they decided to use just square LEGOs to make LEGO Minecraft. Simple, logical answer.
This has received a 98% on Rotten Tomatoes, one of the most strict movie ratings websites ever. I WANT TO SEE THIS SO BAD!