Yeah. In the old days, baserunners would occasionally try to run over catchers. Back in the day usually catchers were generally pretty stout and had protective accessories, but sometimes they got hurt. Also, baserunners would try to slide at the player at second base to make his throw difficult. However, these occurrences were like once a month or maybe once every couple months, if that (consider they play 24-ish games a month). They were notable, but rare.
Now there are rules about these things because stars were injured in these plays.
There's more contact in 5 minutes of a football (as in association football, not American) match than in two dozen baseball games.