The only dino that'll agro an unconscious paracer is a Rex. So if those are taken care off and your cautious about not bringing in extra friend with you. You don't have to worry about other creature damaging your tame.
I don’t know if anyone else has experienced this but I tried taking one of these on my own with no trap, the parapet continuously fake ran away and then returned. I loaded over 90 tranqs in to it and it never got close to going down even on a boosted server. So use a trap, I died many times to bring you this information.
It requires around 27 tranq arrows to tame, but craft 30 just in case. There isn’t an animal commonly found in swamps with Paraceratheriums, so you don’t have to worry about anything attacking your tame. You’ll need around 10 narcotics to keep it knocked out. Build a mortar and pestle next to it just in case you need more narcotics. If you’re planning a voyage and are in early game, no matter how hard you try, they can’t fit on a raft, so just request them after you reach you destination. You can request by clicking the button that says “X out of X tames” then clicking on the animal you want to request and click request. Requesting will automatically teleport the animal to you, but will clear it’s inventory.