Chulk played baseball at the Perrine Khoury League throughout much of his childhood, and graduated in 1996 from Miami Palmetto Senior High School. That year, he was named MVP and received Best Pitcher Award. He defeated the Southridge Spartans during the playoffs in 1996, the team that had cut him the year prior. He attended St. Thomas University in Miami, where he graduated in 2000, majoring in Sports Management. Chulk played college baseball and received Best Pitcher Award of the Sun Conference in 1998, 1999, and 2000, and the Regional Pitcher of the Year Award in his senior year.
Chulk signed a minor league contract with the Cleveland Indians on January 15, 2009.[5] The deal was finalized in February.[6] The Indians purchased his contract and added him to the roster on April 11.[7] On May 6, Chulk was designated for assignment.[8] He cleared waivers and accepted a minor league assignment to Triple-A affiliate Columbus Clippers.[9] In October 2009, Chulk was granted free agency.[10]
He was signed to a minor league contract by the Pittsburgh Pirates on December 7, 2009.[11]
For the 2012 season, Chulk played in the Milwaukee Brewers organization. On April 28, after going 0–0 with a 3.18 ERA and 10 strikeouts in 11.1 innings, the Brewers purchased his contract from Triple-A Nashville.[15] Chulk was designated for assignment by Milwaukee on May 19, 2012.[16] Following the season, he became a free agent.[17]