@OP: yes you can (as jondamon said assuming you reverse the female to get male flowers) and you likely won't get any autos (unless there is auto genetics in the photoperiod plant's parents).
The reason for those results is that the ruderalis auto flowering trait is recessive. Recessive traits only show up when they are homozygous, which hence they are in all autos. Cross them with a photoperiod (dominant) and the recessive auto trait will be in some (edit: all) plants, but won't express itself.
If you however cross the seeds you get from these, that second generation will include autos again. If you'd actually want to create all autos:
Auto is aa
Photo is AA (unless auto in its parent, then it could be Aa)
Crossing AA with aa (Punett square) gives only Aa, i.e. photo is dominant.
Cross those Aa and genotype result is 25% AA, 50% Aa, and 25% aa. So 75% photo pheno, and 25% auto pheno. Cross two of those autos and you will get all autos.