Well, what I mean by “romantic” is the same as what I would mean for a heterosexual “romantic” couple. In other words, they love each other like as though they are meant to be life partners or whatever but yet they refrain from physically showing their love for each other.
You responded shortly after I edited and updated my original post to you. I added a final two sentences which read:
"They should be guarding each others virtues, regardless of sexual orientation. For them not to be doing that would be contradicting the ‘chaste’ element the relationship supposedly had. "
I believe this answers your question, at least from my perspective. To further supplement my answer, the answer is still no. The key thing you said is ‘meant’, as in ‘meant to be together’. I would argue that they are not meant to be together, not by the moral law. What they are feeling would seem to transcend the law, as it does with any couple madly in love, but we know what the moral law is on this issue, so no. I find it hard to imagine how a gay couple can be romantic, and have that be ok, yet refrain from the physical element which is where the grave sin lies. My issue is whether they should even allow the relationship to develop to such a point that their chastity is challenged as the love grows, and compromises are made. Like I said, the occasion of sin has alot to do with this. If they want to be that close to each other that a physical relationship could, at any time, be fostered, then they are both playing with fire in terms of how they’re exposing themselves to each others physical desires, in what can only end (if developed any further) into a morally inappropriate relationship, both in the eyes of God and the Church.
Your scenario implies they could perfectly maintain the relationship from going any further, and I would question their ability to do so indefinitely as their love for each other would grow. Because they are only human and temptation is everywhere, I doubt their ability to maintain a strictly emotional attachment indefinitely, and the further along these lines they tread, the more moral obstacles they would run into. If they are truly invested in maintaining a chaste relationship and guarding each others virtues, especially if from a religious/spiritual perspective, then they would more than likely realize they should stop at very close best friends whom share an emotional bond without allowing the possibility for any advancement in the relationship. I’m sure it would be asking a lot of each other, but if they truly love each other, beyond the physical definition, they would be willing to learn to cope with and eventually settle on ‘just friends’ for the sake of their own and each others soul and spiritual health. True love, in this instance, would be willing to make that self-sacrifice for the other, and I’m sure, in His own way, God would bless this decision and bless them and give them happiness by another means, in accordance with His Holy Will.