Yeah, no problem at all, especially if you filter it like I'd suggest. Reconstitute, then draw into a larger syringe, attach a filter, and split it evenly between two sterile, properly vented vials.
That said, how small is your weekly amount? The dual-action compound especially holds up well, fine for three months refrigerated with standard diluent. Running a smaller weekly dose still lets you work through most of the vial before it expires. Personally I'd stay a bit more cautious if plain sterile water's what you're using rather than the standard diluent, since that seems to be the more typical choice where you are.