Err... No!

Sorry to rain on your parade!

Remember it's Alternating Current. Reverses itself 100 times a second.

However, this is my contribution (pick holes in this)...

We could identify the direction of conventional current by seeing which direction the current flowed in the sensor during positive half cycles of the grid voltage.
With apologies to Julius Sumner Miller, Why is this so! Here goes...

The above scratchings represent a clamp in minimalist terms .
- The red line is the current carrying wire (mains cable);
- the blue is a ferro-magnetic toroid to concentrate the magnetic field around the wire; and,
- the black wire is a sensor wire in which is induced a current proportional to the current in the mains cable
.
The current in the sensor wire will of course lag the voltage as it is inductively coupled. I am assuming the phase angle is less than 180 degrees.
If during the positive half cycle flow is from Grid (bottom of picture) to house the current in the sensor wire will be in known direction, say, as shown in the picture.
If the inverter is at a higher voltage than the grid current will flow towards the grid during a positive half cycle and the current in the sensor wire will be reversed.
(Q.E.D).
Practicalities (before you kick me too hard)...
- The clamp could be designed to sink a probe through the insulation to detect the voltage. Would also need to attach to the neutral wire. Probably breaks all kinds af safety rules - e.g. unfused supply
- Alternative might be to put more logic at the transmitter, but would then need to plug into the mains. This may be a good thing could then sort out the power factor problem.
- Existing clamps are unlikely to be as simple as my minimalist picture. Probably use split toroid with hall effect sensor Are they sending an alternating voltage back to the transmitter? Anyone care to pull one to pieces? or look at the output on a scope?
I think I'll patent this idea! Oh wait, one can't patent ideas and I've just put it in the public domain, curses!