Yes, it will be fine!!
I used to start hundreds of plants from seed every year. I always just used regular potting mix. Seed starting mix is supposed to be better because very fine textured. But my seeds handled the regular potting mix just fine. And the down side of seed starting mix is that it is sterile (no nutrients), so once the tiny seedlings have true leaves, you have to start fertilizing right away or else transplant them right away into a mix that has nutrients. I'd rather just have the nutrients there waiting.