If you try the import, with ROWS=N, you'll get an error reporting "ORA-00439: feature not enabled: Partitioning", but you will also get a dump of the statement(s) it failed on.
It is wrapped at 75 characters with double quotes, but that is something you should be able to handle with a text editor (I like PSPad which has a column select mode that will easily get rid of the quotes at the start and end of each line, plus a JOIN LINES function to glue it all together.
You could also use dbms_metadata.get_ddl to pull the DDL from the source.
With either of those, you'd need to edit the stamements to remove the partitioning clauses before running them in XE.
If you have lots of partitioned tables, then see if the DBA can set you up with a temporary user in the source environment with privileges to do a
CREATE TABLE abc AS SELECT * FROM realuser.abc WHERE 1=2;
You'll have a bunch of empty tables with the appropriate structure but no partitions and can do an export of them, import into XE and then do another import if you want the rows.
You may have similar problems with partitioned indexes. I'd go for DBMS_METADATA.GET_DDL for them and hack the results.