YES

at least for me. My alternator gave up and came home from the gas station and left maybe 10 minutes later and driving out of the neighborhood i got trans fail safe then ac cut out etc eventually I stopped turned it off and waited and tried to start it started but was not happy. at the time i had extended warranty. Dealer flat bedded to have it serviced and said the alternator was not charging properly and therefore battery was under performing and was near is end of life so they replaced both.