Minix existed at the time too, I know because I ran it on an 8088 PC.
But within a few years, linux started gaining mindshare and was starting to replace proprietary unix especially on individual PCs.
It wasn't until mid 1992 that distros started to exist, and I'd say it took a bit of time for those to be complete enough to be usable for someone with a goal other than smoke-testing the kernel on their PC.
I can say for certain that I, a complete newbie, was able to boot SLS Linux floppies in early 1993, and within a couple months I was installing Slackware to HDD.
You also had SuSE, which really started as German-localized Slackware.