The shadow blade spell (Xanathar's Guide to Everything, p. 164) states:
You weave together threads of shadow to create a sword of solidified gloom in your hand. This magic sword lasts until the spell ends. It counts as a simple melee weapon with which you are proficient. It deals 2d8 psychic damage on a hit and has the finesse, light, and thrown properties (range 20/60).
Is there a way to make a shadow blade into a pact weapon for a Pact of the Blade warlock? Or can I use an Eldritch Invocation to make it so?