I bought a bottle of pickled jalapeno today, and I see there are seeds inside them.
It is hard for my local area to acquire jalapeno seeds, so I am wondering if it is possible to grow jalapenos from these seeds in the pickled jalapenos.
The juice is made with water, salt and acidity regulator.
Most likely no.
The pickling process typically boils the bottles to a point that kills any organisms in order to prevent spoilage -- this includes the seeds.
(I say "most likely" because some pickling processes are done cold and use a more natural sort of fermentation. But unless you got your pickled peppers at a very traditional sort of shop or from an old-school farmer at a farmers' market, they've been boiled and the seeds will not grow.)
Beyond the processing issue, even if the seeds were viable, if your peppers happen to be a hybrid variety, you won't get plants that produce the same fruit.
Considering that you can get 100 viable jalapeno seeds for under US$2, it's really not worth bothering trying to salvage the debris off the bottom of the pickle jar...
I agree with @bstpierre: almost certainly no. Even if they were produced using a process that didn't heat treat them, and they survived the brine, then there's still a very low chance. I am basing this on my observation that most seeds from fresh store-bought peppers do not grow - even though they haven't been heat treated and they are young. Which is another factor: how long have your peppers sat in that jar?
(Edit) It sounds like your underlying problem is that you are trying to obtain jalapeno seeds. Big box sellers and grocers often have them. So might the big box garden stores - although healthy plants might be the better choice (which it sounds like they don't have). There are a number of specialist mail order pepper suppliers. You don't say where you are, but for the US, I've used Pepper Gal for the past 5+ years now. No complaints - just a happy customer. They have lots of seed varieties (I haven't counted but must be over a hundred peppers), so not only can you choose "jalapeno" but you can also choose the 'heat', colour and climate to match your requirements.
Some of the pickled jalapenos seeds are alrady germinating in the jar, you probably just didn't notice it. Put them on wet cotton and see what happens. Thank me later. Try. Experiment. Enjoy.
