Paller is from Brooklyn, New York.[1] He attended the Berkeley Carroll School ('11), where he was coached by his father Walter Paller.[2][3][1] Playing center field and hitting leadoff, he batted .426 as a junior with 18 stolen bases in 19 attempts, and .531 as a senior with 52 runs, 20 RBIs, and 32 stolen bases, and was named league MVP.[4][1][5] He was named All-Brooklyn by the New York Post in his junior and senior seasons, and All-City by the New York Post and the New York Daily News as a senior.[1][2]
In his junior year in 2015, Paller batted .264/.392/.472 with 7 home runs (4th in the league), 35 RBIs (4th), and 32 walks (leading the league) in 159 at bats.[7] In the summer of 2015, Paller played for the Green Bay Bullfrogs in the Northwoods League. He batted .345(7th in the league)/.433(8th)/.480 in 177 at bats.[7][9] That same summer, he also played for the Bourne Braves of the Cape Cod Baseball League.[10]
In 2016 he batted .302/.400.503(6th in the league) with 26 runs (7th), 13 doubles (3rd), 5 home runs (4th), 32 RBIs (2nd) and 24 walks (5th) in 149 at bats, and was named First Team All-Ivy League.[7][1] Paller finished his Columbia career 4th in career doubles (43), 5th in walks (79), and 6th in RBIs (111).[11][12]
In 2017, Paller played for the Birmingham-Bloomfield Beavers of the United Shore Professional Baseball League. He batted .367/.557/.633(leading the league in each category), with 6 home runs (7th) and 37 walks (leading the league) in 90 at bats, and had 21 at bats for Lake Erie.[7] In 2018 he played for Birmingham-Bloomfield, and batted .228/.354/.444 in 177 at bats.[7]
In 2022, he again played for the Snow Sox, batting .271/.400/.271 in 59 at bats, playing primarily right field.[13]
Idaho Falls Chukars
On February 25, 2023, Paller signed with the Idaho Falls Chukars of the Pioneer League.[14] On June 7, the team reinstated him to their active roster.[15] In 2023, with Idaho Falls he batted .293/.436/.495 in 99 at bats.[13] On August 2, Paller was released by the Chukars.[16]
He played left field and center field for Team Israel at the 2020 Summer Olympics in Tokyo in the summer of 2021.[23]
Paller played left field and batted .143/.417/.357 with 8 walks (tied for third in the championship) in 14 at bats for Team Israel in the 2023 European Baseball Championship in September 2023 in the Czech Republic.[24]