Generally speaking, yes. It's possible that exactly that occurs.
The places of potential variation are:
causing pressure to build slightly before being released through the mouth
The word-final T might not be released at all. So the current sound (I guess the aspiration from the P in this case) would be stopped by the alveolar closure, but there might not be a release following that or much pressure, if at the same time the glottis were closed to stop the pressure from the lungs building. (Eventually, of course, the tongue would move at the stop would be released, but this wouldn't necessarily be audible or really part of the "word", especially when the glottis has already reduced the pressure.)
The lips are neutral but slightly parted.
For the final T, the lips might be closed, or might close very soon after the T closure.
There could also be slight differences in aspiration, which is due to VOT (Voice Onset Time), basically when the vowel starts. So this would be a different glottal configuration after the /t/. Usually that doesn't occur after an /s/ (actually /st/ is articulated a lot like /sd/, because in English /d/ isn't voiced anyway, it's just unaspirated-- so usually "t" is really [tʰ] and "d" is really [t]). I believe this could be described as a constriction of the vocal folds (for frication) along with the release of the pressure.
But generally, yes, the articulation is very similar.