Note that, in spite of appearances in the post's photo, it is a black-and-white TV.
Either the white balance is causing it, or the Samsung phone's smart camera is trying to be cute, but in real life it's greyscale even though the photo looks eerily close to the iconic C64 default colors.
Yes, it has "sorta" coaxial input with a small 3.5 mono jack adapter plug.
It is connected with a coaxial "antenna cable" which almost fits the C64's RF output and can be made to work if you bend it and shove some tinfoil in the gaps.