Short Answer, No.
Longer more detailed answer,
When it comes to figuring out what's going in the event, it can come from a variety of info, one of them being costumes. That can be a very easy way of figuring things out, especially when you have an iconically distinctive look. There is no mistaking Jason for any other character, and conversely there is no mistaking the Grabber for anyone else either.
Second, we already know from bioreconstructs aerials there's a yellow VW Beetle in the outdoor section of the house. That is very much linked to F13 and not linked to the Black Phone whatsoever.
And speaking of outdoor sections, it makes sense they'd try a literal outdoor section for a F13 house. But it would make zero sense to do that for the Black Phone 2 which is set in winter and the obvious Florida air and heat would betray the setting to a hilarious degree. (Meanwhile they're working on the AC units for one of the new tents to make sure that house actually fits the cold setting for the Vikings.)
Finally, with FNaF already having a house this year, I don't see Blumhouse having two properties as houses.