Short pauses to collect your thoughts? Sure. Routinely placing 30s pauses between statements? No, it's not acceptable to most people. 30s is a really long time in verbal communication. Grab a stopwatch and try letting 30s run out between statements.
Not really - pauses are uncomfortable and most people will start speaking again within a few seconds just to fill it. Unless you've interrupted eye contact and are visibly doing something else, in which case to avoid rudeness you need to ask them to wait while you do it.