There was was an Eric Palmer, aged 26, (born abt 1866)on the "CITY OF BERLIN", departing Liverpool on 30th Mar 1892 to New York. He was Single. Labourer.

A lot of these voyages arrived in England, often at Hull,
then they would go by train to Liverpool for a second ship to
USA.

I can't be certain that this is your ancestor. But if his date of birth was around 1866, it might be.

Brian