Sure it will, plenty to make it not work as an arm anymore at least, plus some eventually-lethal bleeding and such.
Plus you seem to be assuming just one pull, this is a horde of probably 10+ zombies grabbing and pulling over several minutes. Sure maybe the first pull “just” bruises you and wrenches your shoulder, a later one might dislocate your arm, but then another zombie gets a grip and pulls again, maybe some tearing. Repeat enough times and you end up scattered all over the place.
Possible sure, but that’s not what I’m talking about here.