It looks like he's an '02 with the second team of Pardubice, where Nana Akosah-Bempah plays in the first team. His background seems to have connections to Florida and the D.C. area. http://fkpardubice.cz/hrac/profil/1109 He was a nonplaying freshman last season at NCAA Belmont, which noted in his profile: High School: Played with Czech club Slavia Prague U16/17/18 and finished second in the All Stars Cup after defeating FC Barcelona ... Also played with FK Pardubice in the Czech Republic https://belmont.prestosports.com/sports/m-soccer/2021-22/bios/karch_paul_28s9 https://www.instagram.com/p/ChX8OriMPFJ/?hl=en
Seems he's moved to Austrian club Kremser SC. Apparently his father is associated with the club in some way. https://www.instagram.com/p/Cu2V08oI86R/
Former UPSL Forward Paul Karch Jr. Makes Move to Austrian Bundesliga 2 - Premier Prior to SV Horn, Karch Jr has spent some time in the Austrian third division with Kremser SC and in the Czech third division with FK Pardubice. Before moving to Europe, Karch Jr. played at Belmont University in Nashville TN and is a product of the DC United youth academy.
Appears to now be with Klosterfelde in Germany. https://www.union-klosterfelde.com/kopie-von-1-männer