Paragliding late afternoon/sunset available in Interlaken, Switzerland (Bernese Alps)?

Of course a crown jewel to any visit to the Alps is ascending the "Top of Europe" via Europe's highest train route, Jungfraujoch. However, I only have one full day in the Interlaken area, and I would like to go paragliding in one of the most picturesque places in the world. I've never been paragliding before, and if I do it, there's no better place than in Interlaken, right?

I hear mornings are best for viewing the glacier/train/mountain because it tends to be a bit clearer. So in order to squeeze in both... I'd do the train in the morning and hopefully paragliding afterwards. But do paragliding companies take people in the late afternoons? Is it safe (or even an option) to go paragliding later in the day (late afternoon/sunset)? I will be there June 14th which is a Thursday.