yes, labour can stall or stop for a number of reasons
being scared, suddenly anxious or feel too vulnerable can stop things progressing.
being immobile can slow things
lying down, esp on your back if baby is back to back can really , really slow things and increase your pain levels massively.
were you told why you had to have CFM? in a normal labour, you should not need to have it. intermittent listening should be sufficient.
so, you arrived,in established labour, managing well , dilating nicely, then you are told you must have CFM and that there are not enough staff, so you have to lie on a bed.... and your labour stops...
sometimes labour does pause to give you a break, often it happens at 10 cm, you have the ;rest and be thankful stage, where your contractions stop to allow you to have a breather before your second stage.
perhaps if you had not been immobile for a number of hours, your labour would have got going again without augmentation?
a lot can also depend on the position of the baby as to how effective the contractins are at dilating the cervix
labour does not tend to run out of steam just 'becasue', if you see what i mean, so might be worth going through your notes and finding out a bit more about baby's position and the length of time you were on the bed, how high baby was etc... so you can get a truer picture of what happened.