Greetings Koreansoul,
A simple answer to your question is yes....you can use the same process /approach for peppers as you do with kimchi.
I do it all the time, and have done so for many years. I always have a batch ...or two...or three of kimchi and cabbage in the fridge and eat it daily. And the juice from the kimchi works perfectly as a starter for your pepper ferment.
However... there are some differences in the recipe for peppers from that of kimchi, largely due to the vegetables being fermented
As you probably know, the various cabbages commonly used in kimchi are considered "self brining", and they have a high level of moisture that is easily drawn out when pounded a little and some salt is added. The cabbage leaves also have a lot of the natural "good" bacteria (lacto)necessary for the fermentation process to get started
The juices in peppers on the other hand need a little more time and coaxing to get them to release their juices, and although it is totally an option various starters can be added to the recipe to give the lacto bacteria a good "foothold". Additionally, including some sugars and or vegetables high in carbohydrate, give the bacteria a food source, which results in the production of two bi-products, c02 (which displaces the oxygen in the ferment )and acid (which retards the decomposition of the vegetables). The salt that's added serves to give the lacto bacteria a little head start as well, along with drawing out the natural juices, and in the case of cabbage, cucumbers,carrots,helps them maintain a crisp crunchy texture for a while longer.
Here's a link to a thread I posted several years ago that contains some photo's and the particular recipe I followed for that batch, of kimchi and sauerkraut. which has been serving as an ongoing generation of starters in most of my pepper ferments ever since.
http://thehotpepper.com/topic/23486-fermented-kraut-and-kim-chi-with-kefir/?hl=%2Bfermented+%2Bvegetables
Regards,
CM