We had memes in the 90s. But you had to use Photoshop like a grownup not some cheap meme generator site. It only cost $1200 for a license, and most of us were broke kids (not actual grownups) so you had to join a WAREZ chat room on AOL and beg for a crack, then you'd spend a week downloading it on your 28k modem. Then you'd skillfully construct a meme from scratch based on some images you collected off personal home pages on Geocities because Google image search didn't even exist back then.
Before that you had to create a chain letter, with a strongly worded section to forward the letter to 10 friends, and detailing the penalties for breaking the chain.
Do you mean "i can haz cheezburger" or rage comics, or that thing from the walking dead of the older dude yelling at the kid? or "yo quiero taco bell?" or "YEEeeaaahhhh baby"
Other replies have given examples of "current-style" memes from the 90s. The term itself was also in popular use, as evidenced in e.g. the website memepool.com.