Nah, not yet.
Houston will keep them together until the trade deadline or even unit next summer before breaking them up. Only way they do it now, this summer, is if (1) the trade fits into acquire a franchise star strategy (2) Lowry demands a trade.
Which is what I'd like to see Lowry do - be more forceful here and demand a trade if Dragic is brought back. Be more outright about his own desires. He is being too much of a gentleman ... it's not going to help matters for him. Houston are going to look at this (and rightly so) and feel they can talk him down and keep their talent. That this isn't a serious situation. That he can be handled and that they can keep their talent plus take as long as they wish (6-18 months) before breaking up that PG combo.
Lowry needs to make them feel otherwise for the good of his own career. He needs to be more forceful and demand a trade. Not wishy washy his way about it.