No you should not eat and do not eat the corn husk that is on a tamale.
The corn husk that comes on tamales is not edible and not meant to be eaten and if you did try to eat the corn husk on the tamale it could pose a choking hazard.
So when you get a tamale with a corn husk you should always first remove the corn husk and throw the corn husk away or put it aside and throw it away after you're done eating the tamale.
The corn husk on the tamale would be hard to chew as well because I tried it myself and there's no way I could chew it anyway.
So just remove the corn husk and discard it and then enjoy the tamale.