Welcome the the Chrons,
@Arkena!
There's a few threads around the site, and tinkerdan's suggestion to try that most recent one is good.
Yes, romance is acceptable in science fiction. Okay, these are examples from films and TV, but you have Han and Leia, and Finn and whoever you want to ship him with, in Star Wars; and you have the romantic relationships in Battlestar Galactica, to name two franchises. Recently, on the book front, there was The Long Way to a Small, Angry Planet, by Becky Chambers, which features various romantic relationships. Personally, I love that book, and the second in the series.
Romance has been present in the work of several authors, from Heinlein, through Charles Stross. Nancy Kress alludes to it, and I believe there is some romance in the Vorkosigan Saga, by Bujold, although others would be better to confirm that. Bujold's on the TBR list, not yet reached her.
There is also a thriving science fiction romance scene, although that's more a part of the romance genre, with sf generally being added as the backdrop. At the end of the day, if you make it interesting, and compelling, with characters you can invest in, then readers will likely take to it. Not that every reader will enjoy a story -- horses for courses, and all that.
Is it science fiction with romance you're writing, or romance with science fiction? There's room for both, and more. Write it, and see how it turns out. You can always edit it later. Most of all, good luck with it.