In theory, yes – BUT – there’s no way to test the finished product and confirm that it will heat evenly to ensure safe processing. You’re adding chunky,starchy bits that are likely to make the salsa thicker. Thick product slows down heat transfer. This may mean that the processing time needs to be increased to make sure that it heats all the way through, or it could push it to the point where it would not be recommended for home pressure canning, like pumpkin butter. (It’s safe to can pumpkin chunks, but it is not safe to can pumpkin butter.)
Hi Heather – from all the reading I did on that recipe, the lady who created the recipe, Annie, developed it and had it tested at her local extension office years ago. There are a lot of threads on the Garden web forum – I looked for a few minutes and couldn’t find the original thread I had read but here’s a couple that might help (there’s LOTS of discussion on there about the proper way to make the salsa without messing up the pH levels and making it unsafe):
It needs to be cooked ahead of time so that the flavors are blended and you can taste it and make sure it’s how you want before canning. With the big pot for canning, I have a quilted hot pad under them instead of a rack. I never bought a rack because the hot pads work just fine. You need something under the jars but it can be as simple as a kitchen towel (I have not broken a jar in 3 years! So it must be okay, lol). I have some posts on the water bath method that explain my equipment in more detail.

Well first off I took your advice and bought a Breville Food processor ….I love it. Then I made your salsa recipe …. then I made more ….made over 50 pints and have about 12 left. I give it to everyone … then they want more. What a wonderful recipe ….I have given to people at work and then others come and ask me if I have more. yesterday I went and got 4 more bushels of tomatoes and here I go again. Thank you for the good tips and wonderful recipe.
This is IT!! Made this last year, and all the jars are gone! My family LOVED it , and this time I am pinning (in case i lose it again!!) I followed the recipe almost to the letter, adding a little extra salt (we like salsa on the salty side) and omitting the cilantro (personal preference, I HATE it, kiddos and hubby can add fresh when it is on their plate)
No patience for such shenanigans? During my latest visit, my culinary playpal Malou from klidmoster.dk brought up the delicate subject of freezing salsa. Would salsa freeze well, she asked. Not really sure what to tell her, I ventured an “uh, maybe, try?” to her question and sort of left it at that. My subsequent research has shown, though, that freezing is a viable and easy alternative to canning but it does seem to lead to a slight loss in appearance and quality. Most noticeably, freezing and thawing of salsa will cause a watery liquid to separate from the solids. If this poses a problem for your desired application, simply drain off any liquid before using or serving.
OMG! This IS the best salsa!!! I used Romas to make a tomato sauce for the recipe. I used regular fresh tomatoes from the garden and skinned, chopped, and squeezed juice from them. I followed the recipe exactly except for no sugar. I think the 100% apple cider vinegar is important (not apple cider flavored vinegar). Thanks so much for sharing your excellent salsa recipe.
This is how I make mine, minus the Cumin. I’m going to try it the next time I make a batch. Family and friends are always asking me to make them some. It’s so easy and sooooo good!! Sometimes I can it too. All you have to do is put it on the stove and heat it up slowly, then into your cleaned and prepped mason jars. It keeps for about 3-4 months unopened. 
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