I am not sure what you are asking, but I *think* the answer is no. If I am understanding your set-up, this is what is should look like.
View attachment 6622
Note: If the main fuse on the battery is small enough to protect whatever gauge wire is going to the inverter, the additional fuse on the positive to the inverter *may* not be needed but it is still a good idea to have if the max current to/from the inverter is less than the main battery fuse. Also, if the inverter does not have some type of over-current protect built in, there should be another fuse or breaker on the positive close to the inverter.
A few guidelines for fusing:
* All current sources should have a some form of over-current protection in them or right next to them.
* The fuse should be rated at 125% of the max power expected
on the smallest wire in the circuit the fuse is intended to protect.
* Anytime a smaller wire connects to a larger wire, it should probably be fused.