Maybe. I don't know what your facilities look like, how things are connected, or how big they are. I don't know your integration techniques. It sounds like they will be about two months or so apart in age. I don't know what age you will be ready to bring them out of the brooder. Lots of unknowns.
Each chicken has its own personality, each flock has its own dynamics. Those flock dynamics can change radically with just one chicken. What you are proposing may work really well but if you have one cold-blooded murderous brute in your older flock everything can change. You won't know if you do have one until you try.
My brooder is in the coop, so the chicks are basically raised with the flock. Many are raised by broody hens. I regularly turn five week old chicks raised in that brooder loose to roam with the flock with no issues. The broody hens might wean their chicks as young as 3 weeks, some might not until 3 months. The flock consists of a mature rooster, some mature hens, and often other juveniles of various ages, growing to butcher size. I have a lot of room. I'll say that again, my coop is big enough and with enough hiding places the chicks can avoid the adults and outside is never less than 60 square feet per chick or chicken, usually much more.
I'v never lost a chick to another adult. I had a 2 week old chick kill it's 2 week old sibling. I had a 15 week old cockerel kill another 15 week old cockerel. I had a 1 week old chick get into a pen of 8 week old chicks where the broody hen could not protect it so they killed it. It's not like they can't die, but this stuff can happen even if you do keep them separated.
I think having the rooster helps me some. I find juveniles are more dangerous than adults. Some people do exactly what you are talking about without problems, some people try it and chicks die. The more you can tell us about your situation and facilities the more likely we can give you specific suggestions for your unique situation, but that does not mean you get guarantees. We can help improve your odds of success.
Good luck!