Oh, yes of course! I mean, you're fine to do your own separate giveaway naturally. I'm sure you'd still get a great turnout. It might be fun to combine, though. Just let me know what you'd like to do! If you do wanna combine, just let me know what your giveaway was gonna be, what kinda rules you were thinking of, stuff like that & I'll go ahead and edit it all + your username up there.
If you do decide to go ahead with your own anyway (totally up to you<3 it's fine to have two giveaways!) then I wish you the best of luck!