I wouldn't say its highly likely unless you plan on running a bass amp through a guitar speaker.
I use guitar amps to test basses all the time at moderate levels.
If the amp/speaker combo is properly designed by a reputable manufacturer, its frequency response will be tailored to roll off before any potentially damaging low end frequency.
Use your ears. The speaker will give you clues as it approaces its limits.
Guitar speakers are not designed to handle the levels of bass, which is why there have been significant across-the-board improvements in bass reproduction systems since the late 1950's, which is ongoing. Old bass amps with guitar speakers that were proven to be unsuitable for bass ended up being used by guitarists. And early guitar speakers supposedly refined for bass have also ended up being adopted by guitarists. Bassists abandoned them for good reason. Sure, you can likely get away with practicing or testing bass through a guitar rig by keeping the levels low-moderate, but push things and the likelihood of turning your guitar speakers into fuzz units increases dramatically. Prolonged use of guitar speakers for bass also increases the chance of voice coil damage and cone flubbage, also rendering the speakers unsuitable for their intended purpose. It’s all a matter of degree. As always, though, YMMV.
Running some guitar heads through a bass cab sounds great with bass, Don't use guitar speakers though if you want to play any louder than just sitting around twiddling your thumbs level
