The short answer is: no.
Take Scott #2284-85 for example. This is the Owl & Grosbeak booklet issue. Sometimes I’ll get requests from customers with, “Please make sure #2284 is on the left.” That’s because they are trying to follow the layout of their printed album.
If you look at a full booklet pane of this issue, sometimes the Owl is on the left hand stamp; sometimes the Grosbeak is on the left hand stamp. The USPS staggered the stamps like that.
Is there any change in value depending if the Owl or Grosbeak is the left hand stamp? No. Some collectors may be particular about having a certain Scott number in a certain position on the pane. However, the majority of collectors don’t care about a specific layout.
Until the 1990s, the USPS usually laid stamps out in one arrangement. Take Scott #1464-67 for example. If you look at a full pane of stamps, every stamp is laid out in the same position relative to the stamps around it.
However, starting in the 1990s and continuing to today, some issues use a staggered design. Take Scott #2785-88, the Classic Books issue. The USPS alters the position of each stamp.
Using Scott #1464-67, if you separated a block of four from the pane and then separate the adjoining blocks of four, all of the blocks of four will be identical. With Scott #2785-88, the resulting blocks of four will be different. A few of them will be the same, but not all. With Scott #2785-88, you could have four different patterns for the resulting blocks of four.
If stamps in a particular position make a difference to you, that is certainly your prerogative. In summary though, there is no change in value.