No. My first poly relationship/poly partner was non-sexual with very little chance of either of us becoming sexually attracted to the other.
[*]If you remove the sex, do you just have friendship?
The "just" in there, it is telling. Broadly, I think that depends on the people involved. If I remove sex from a relationship, that doesn't downgrade the relationship or mean that it wouldn't be just as important as a sexual (or romantic - remember, these are two different things, sex and romance) relationship.
In broader society though, I do think people think of friendships in terms of "just" a friendship. They're more disposable. Placeholders until you find "the one". Gag, gag, gag. Way to objectify people and turn them into temporary need-fulfillment buckets.
[*]Can polys have romantic friendships?
Absolutely. Or sexual friendships with no romance. Lots of permutations there.
[*]Can you have romance without sex?
I personally can. I seem to not be the only one.
[*]How about sex without romance?
I personally can, though I didn't care much for it, and probably won't do it again. I seem to not be the only one with that capability
https://thethinkingasexual.wordpress.com/
https://thethinkingasexual.wordpress.com/2015/06/12/nonsexual-polyamory-is-totally-a-thing/
From the mouth of an aesexual herself.
[*]Are poly asexuals messed up?
My understanding (as a sexual person who reads blogs about asexuality) is that if they are, it's less because of being poly OR asexual and more about the way that society has traumatized them by insisting that they are broken, messed up people, because of their lack of sexual attraction. I'd say that asexuality today is a lot like homosexuality in the 50s was, in my understanding of that (not being around in the 50s myself to verify). Many asexual people are pressured in adolescence into sexual relationships that they did not want, which leave an enormous amount of emotional trauma. On top of that, if they try to speak up about their trauma, they are generally considered "freaks" by those around them for not enjoying sex.
It's incredibly heartbreaking to read some of the stories written by asexuals who hunger for human companionship and non-sexual touch, but are so traumatized by past romantic relationships that the idea of trying to engage with people again is terrifying. Also, being asexual doesn't mean that a person doesn't want to have a life-long (or long-term) intimate partnership with another human being. It just means that they don't want a sexual component. The way that society views relationships now makes that extremely hard to find.
Currently, medical literature still treats a lack of a desire for sex as a defect, instead of a default setting that some people may have. Now, unlike homosexuality, it is possible for someone to not be sexual because of a hormonal imbalance or a sexual trauma or for other reasons. However, the current standard of always treating asexuality as though is MUST be a problem that should be fixed is wrong. In my opinion, even if the case of asexuality caused by trauma, medical problems, or a simple desire to be non-sexual, if a person is happy and/or satisfied in their asexuality or wants to be asexual, they should be free to live as such.
If medical literature and psychological literature were to change and offer more resources for asexuals (as well as start nudging society to accept asexuality as a natural state of being for some people), I think that society in general would deeply benefit.
As a sexual, romantic polyamorous person who doesn't want sexuality to rule the way I rank or prioritize my relationships, this is very important to me. I would definitely welcome a relationship with an asexual, were I to meet an asexual and we shared a mutual interest in each other. To my mind, as a woman who has been sexualized innumerable times and hit on/groped/forced into non-consensual sexual situations, the idea of having a person in my life that would never objectify me in that manner sounds wonderful.
Though to be clear, I have no desire to go trolling for an asexual just to fill that need-bucket. But one of the things that I deeply loved about my first poly partner, Rachel (who wasn't asexual), was knowing that I never had to worry that cuddling or being physically affectionate would be taken as a sign that I was secretly looking for sex.