First, when you say "camp", do you mean travel and sightsee or actually go camping (relaxing and playing in the wilderness)? If the former, then you may have a rough time. If the latter, then depending on the answer to the second question, it can be doable.
Second, how many dogs do you have? Many campgrounds have a limit of 2 dogs per campsite.
If you have more than 2 and they are big barkers, then I would agree with the above. It will be extremely difficult to retrain a pack of dogs to not bark at everything.
If you have 2 dogs, then you can work with them. Each of you take charge of one dog. When that dog barks at something, redirect the dog's attention. Use a can filled with pennies or pebbles, a squirt bottle filled with water, a favorite toy or treat. As soon as the dog barks, shake the can, squirt the dog, or entice him with the toy or treat. As soon as he focuses on that item, praise him profusely. Each of you do this with "your" dog EVERY time one of them barks. If the other dog barks, immediately get the attention of your dog the same way and praise her profusely.
It will take time. You will need to be constantly attentive to your dogs. You will need to be aware of your surroundings - you need to see the disturbance before they start barking. You cannot leave them alone while you go off for more than a few minutes.
Start this retraining at home. If you find it really difficult, seek help from a professional trainer. Once you grasp the technique, you can take the next step. Get the camper, park it in your driveway and spend the day in it with your dogs. Get them used to being in the camper. Continue to use the training technique to stop any barking. Fortunately, most trailers have limited windows, so there won't be as much visual distraction when inside. But they will hear more things, so stay on top of the refocusing.
Then start camping, doing short trips, 1-2 nights, at first. Do not let up on the refocusing. Take them for long hikes in the woods. Let them sniff all they want, but refocus if they bark or try to chase.
While no one likes dogs who bark and bark and bark, most folks are understanding if they see you putting in the effort to stop it. Let others know you are teaching your dogs to be good campers and they will give you some leeway. But you have to always be teaching your dogs. If you can't put in that effort, then don't do it.
My Bat-dog was a barker and had people fear. If I had listened to the "if your dog isn't perfect then leave it at home" folks, we would have both missed out on so much. Instead, I took her and worked with her. Other campers and even the rangers and camphosts were great. Most just ignored us, some talked to me and let me know I wasn't ruining their trip, and some went the extra mile and approached my dog and helped her see people weren't bad.
My current dogs will require onsite training also. Cat-dog is afraid of other dogs, so she is getting socialization training and that will continue with camping trips. Tornado-dog is mostly jack russell terrier, so being vocal is bred into him. But he is learning to focus that barking and, again, that training will continue with the camping trips.
1975 American Clipper RV with Dodge 360 (photo in profile)
1998 American Clipper Fold n Roll Folding Trailer
Both born in Morgan Hill, CA to Irv Perch (Daddy of the Aristocrat trailers)