No, you are not.

If people really want to get to you, then they get creative. There is no specific law on the book against sex with animals? Well, here is one against cruelty against animals in general, surely, that fits. Wham Bamm Thank you Mam.

Even if there isn't a law like that, oh, look, let's just use a statutory rape law. That fits, too, do'n't it?

That guy/girl is a superpervert anyhow, we just need to make it somehow legal to lock him away... HA! I got it. The animal is only 8 years old. BOOM.

Even if you are "let go", the animals have been under the care of some superduper-nice-dogooder in the meantime, anyway. So now they are castrated and adopted out, even fast track castrated and adopted out, don't want you to organize bail and get the dog back in two or three days because the court needs to figure out what to do over some time.

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The short answer is that nobody is safe when a witch hunt is going on, so always be careful.

Having said that, I am aware of cases where people were accused, questioned, and left alone because of there being no relevant law, and probably no evidence. But I would not count on that today.

Meeting people and talking about ideas is - at least so far - not illegal, if you really are just wanting to "meet a friend" and that's not some kind of euphemism. Just use common sense and good privacy techniques.

When you say "states" I assume you mean the USA. First, the number of states in the USA where it is legal is shrinking rapidly, with 4 anti-zoo bills in 4 states (VT, KY, WV, TX) right now. And in the past few years AL, NJ, NH and OH banned it. So things are getting progressively worse from a legal perspective. Outside the U.S., there has been similar stuff going on in Mexico, with a variety of Mexican states (such as Veracruz) banning it recently.

Europe has been having the same problem, with Germany, Denmark, Sweden, Spain, Belgium, Norway and the Netherlands all banning it recently.

In all these places (Europe, U.S., etc.) the anti-zoo influence is powerful and there is no one trying to stop their actions.

Basically, zoos are losing their rights in more and more places. In the United States, at the rate things are going, soon there won't be any states left where it is legal. If the states with anti-zoo bills are excluded, that leaves only a handful of places (WY, HI, NV, NM, DC, AS, GU, MP) where it is legal.

Relating more to your question: no, even in a U.S. state where it is "legal", someone is not entirely protected. For example, in New Hampshire a few years ago (when it was still legal there) a man who had sex with his dog was wrongfully charged with "animal cruelty" and an anti-zoo jury convicted of him of that charge (because the jury wrongfully believed that interspecies sex is "cruelty" in and of itself). So they wrongfully used an "animal cruelty" law on him — so he was convicted of "felony animal cruelty" and sent to state prison — and now there is a brand-new anti-zoo law in New Hampshire, so now he'll have to register as a sex offender (because of that new law).

In 2011, an Ohio man was caught and charged with "animal cruelty" (Ohio didn't have an anti-zoo law at the time; Ohio just made a new anti-zoo law a few months ago).

There was a woman in Nevada who was caught but only charged with "disorderly conduct" because she had sex with an animal in public.

In a few Southeast Asian countries, people who have been caught having sex with an animal have had no charges against them at all, but laws vary; for example Thailand just made a new anti-zoo law in 2014. China has no anti-zoo law, and a man in China who had sex with animals was not legally charged, but a vigilante group lynched him (he survived the lynching).