Jurgensmeyer was born and raised in Nashville, Tennessee, where his parents owned a live music and dinner show restaurant, The Nashville Palace.
Jurgensmeyer made his television debut with a guest role on the CBS television series CSI: Crime Scene Investigation in 2010. In 2012 he was cast as Alfalfa, one of the lead roles, in Alex Zamm's 2014 film The Little Rascals Save the Day. He has appeared in films such as American Sniper and Devil's Knot. In 2016 he appeared in the Disney Channel film Adventures in Babysitting, playing Bobby the middle son of one of the sets of children being babysat. The same year Jurgensmeyer was cast in Nickelodeon's Legends of the Hidden Temple television film, playing Dudley the youngest of the three siblings who travel through temple. In 2017, he provided the voice of the young version of Peyton Manning's character Guapo in Blue Sky Studios' Ferdinand. From 2018 to 2020, he has portrayed Boyd Baxter on the Fox comedy series Last Man Standing,and from 2019 to 2021, he has been part of the cast of the Disney Junior children's television series T.O.T.S. voicing Pip the Penguin.