I have video of myself and my two sisters dating about 1985 or so. The handycam craze *started* in the early 90s, with the things becoming compact and cheap enough for any sports dad to afford. Before that, the TV newscrews had the shoulder-mount video that brought the ‘roving reporter’ to our living rooms every night. Before *that* you had handheld Super-8 film cameras and a tape recorder. There’s no reason to think the video couldn’t be made in the 90s.
In point of fact, you could even have concealable video cameras back then. My ex-stepmother works for a detective agency, and I recall seeing ads for some of the gear come through. An ordinary wristwatch, with a lens built in and thin wires leading up the sleeve to a micro-cassette VCR the size of a wallet. Disgustingly expensive - think ‘Porsche’ - for thirty seconds of video, but when it would break a case, it was well worth it.
Now, of course, it’s certainly possible to *fake* a video from the 90s. Certainly easy enough to locate functional technology to do the recording.