Yes, it can.  Headers and footers are stored in sections, so you need to
create a new section by using Insert>Break>Next page section break, at the
end of each page in your document that precedes a page you want to have a
different header.  Then open the header (View>HeadersFooters or double-click
header in Page Layout view) and turn off 'Same as previous' by clicking the
appropriate button on the Header and Footer toolbar.  The button face shows
a picture of two text areas, with a backwards dotted line arrow pointing
from the second to the first.

cjd

Yes. You can either use section breaks, or use the StyleRef field, or have
different headers footers on the first page and on subsequent even and odd
pages.