right now we're picking 16 and 20
....we're about to lose out on some talent.
Meanwhile the sixers look like they're going to have two lottery picks to go along with MCW....wow. Philly has a nice future ahead if everything pans out.
I think that Philly would be a team that we might be able to trade up with IF Embiid is still there with their first pick. I think that our two picks and Bradley would make them bite in a heart beat!!
Smitty77
maybe bite their lip trying not to laugh in Danny's face for that offer 
Noel is not nearly as regarded as Embiid. If they took Embiid, they'd either move Noel to PF or ship him out for a player they need to better balance the roster.
The Sixers need an infusion of top talent. If they have a top 6-7 pick where they can land a player that's expected to be a career all-star, they're keeping that pick, not shipping it out for AB and 2 middling picks that might at best be borderline starters/rotation bench with this draft.
It all depends on who else is on the board. If somehow Embiid slips to the bottom of that first tier of players (Wiggins, Parker, Randle, Exum, Smart, Embiid...maybe Gordon), which is possible, and unlikely, then Philly could absolutely trade down.
It would come down to their evaluation of Embiid, and who they like in the next tier. I think in this draft, after those top 7 (assuming they all come out of course), the next tier is pretty large, and there are still a lot of high upside guys there.
We also need to remember though, that Philly also has the Pelican's pick, and they also have a couple other really young guys on their roster with Carter-Williams and Noel, so they might not jump at the opportunity to add a bunch more picks. But trading down a few picks and adding a veteran could work.
Although we wouldn't be able to trade Bradley at that point I don't think, since he would be a free agent.