no, there is no SqlServer support for mainframe linux. SqlServer only supports x64 linux platforms. also there is no .net core support (which currently only supports x86, x64 and arm64).
there are many other databases supported. PostgreSQL, MySql, Oracle, and Db2.
note: if you host SQLServer on its own platform or Azure, you can connect from z linux via java or c callable odbc drivers that have been ported.