Do Jeppesen SIDs have top altitude?
You ask about Jeppesen in the title, but you mention ICAO in the body.

Does Jeppesen show top altitude? Yes.

Top image is FAA chart, bottom is Jeppesen. Both for the LOOP SID.

Does ICAO show top altitude? The ICAO charts are produced by NAAs based on ICAO's style if they don't have their own. The FAA has its own format. But the answer is also yes if the top altitude is used.

The top altitude was added for the climb-via instruction, which is a recent addition. Not all states (nations) follow the climb-via and descend-via system just yet. But those who do, will have that information.