If the block or pair are of different designs, no. If the block or pair shows something only a block or pair can demonstrate (1934 Farley Sheets verses the regularly issues) no.
Earlier stamps have a time a listed premium for a block of four of the same design which is more than the 4 times the single price.
Why are blocks broken up? The album has space for singles, not multiples (sometimes multiples too). Wear and tear of the perforations due to handling--did not start as an intended break-up. The singles sell for $800.00 and the block sells for $4000.00 but there is a buyer every week for a single but only once per year for the block. And lastly, the good old standby, "I did not know any better then."
Edit: Another reason I break up blocks is that for a block of 20 cent stamps, I only need three of four to mail my bill.
