Is it OK to have a duplicate generator named defined in the JPA persistence unit?

According to section 11.1.48 SequenceGenerator Annotation of the JPA 2.1 specification:

The scope of the generator name is global to the persistence unit (across all generator types).

So you can't have duplicate generators.

If you try to add the following two entities:

@Entity(name = "Post")
public static class Post {

    @Id
    @GeneratedValue(strategy = GenerationType.SEQUENCE, generator = "pooled")
    @GenericGenerator(
        name = "pooled",
        strategy = "org.hibernate.id.enhanced.SequenceStyleGenerator",
        parameters = {
            @Parameter(name = "sequence_name", value = "sequence"),
            @Parameter(name = "initial_value", value = "1"),
            @Parameter(name = "increment_size", value = "5"),
        }
    )
    private Long id;
}

@Entity(name = "Announcement")
public static class Announcement {

    @Id
    @GeneratedValue(strategy = GenerationType.SEQUENCE, generator = "pooled")
    @GenericGenerator(
            name = "pooled",
            strategy = "org.hibernate.id.enhanced.SequenceStyleGenerator",
            parameters = {
                @Parameter(name = "sequence_name", value = "sequence"),
                @Parameter(name = "initial_value", value = "1"),
                @Parameter(name = "increment_size", value = "10"),
            }
    )
    private Long id;
}

Hibernate will generate the following error message:

Multiple references to database sequence [sequence] were encountered attempting to set conflicting values for 'increment size'. Found [10] and [5]

That's because the identifier generator is global and those two sequence configurations will be conflicting.