Can I have H2 autocreate a schema in an in-memory database?

What Thomas has written is correct, in addition to that, if you want to initialize multiple schemas you can use the following. Note there is a \\; separating the two create statements.

    EmbeddedDatabase db = new EmbeddedDatabaseBuilder()
                    .setType(EmbeddedDatabaseType.H2)
                    .setName("testDb;DB_CLOSE_ON_EXIT=FALSE;MODE=Oracle;INIT=create " +
                            "schema if not exists " +
                            "schema_a\\;create schema if not exists schema_b;" +
                            "DB_CLOSE_DELAY=-1;")
                    .addScript("sql/provPlan/createTable.sql")
                    .addScript("sql/provPlan/insertData.sql")
                    .addScript("sql/provPlan/insertSpecRel.sql")
                    .build();

ref : http://www.h2database.com/html/features.html#execute_sql_on_connection

Yes, H2 supports executing SQL statements when connecting. You could run a script, or just a statement or two:

String url = "jdbc:h2:mem:test;" + 
             "INIT=CREATE SCHEMA IF NOT EXISTS TEST"
String url = "jdbc:h2:mem:test;" + 
             "INIT=CREATE SCHEMA IF NOT EXISTS TEST\\;" + 
                  "SET SCHEMA TEST";
String url = "jdbc:h2:mem;" + 
             "INIT=RUNSCRIPT FROM '~/create.sql'\\;" + 
                  "RUNSCRIPT FROM '~/populate.sql'";

Please note the double backslash (\\) is only required within Java. The backslash(es) before ; within the INIT is required.

If you are using spring with application.yml, the following will work for you:

spring:
  datasource:
    url: jdbc:h2:mem:mydb;DB_CLOSE_ON_EXIT=FALSE;MODE=PostgreSQL;INIT=CREATE SCHEMA IF NOT EXISTS calendar