I wouldn't call it a networking fee, but I have a different mindset than Chris K. It definitely can pay to know the right people, even if you aren't the seller or the buyer/lender (or in this case lender and borrower/contractor).
It can be staged as a "consulting" fee or whatever you want to call it, if you can prove to both sides that you bring value by bringing two parties together then you can certainly ask for a percentage of the deal (albeit likely a small percentage).
I have been paid multiple times by bringing a lender and a borrower together, whether it is a few points at closing or whatever. You could offer to help the contractor with small simple construction tasks if you have the time, things that are easy to do/learn even if you have no construction experience.
Do you have your real estate license? If so you could help bring the deals, analyze them, find comps, etc.
There are definitely ways to still get paid on this, you just have to be creative and show both sides why it is a benefit to have you as part of the deal. I just wouldn't expect to get rich through this since you won't have any of your own skin on the game or be putting in much sweat equity.
If you network with the right people you can still find ways to make a few bucks.