Sure you can do that, I do it most of the time, but I limit it to maximum of three different strains (We can only have 6 mature plants at any one time). However there are some important considerations_
1. pick strains that finish in about the same time or better yet get autos that will finish before the photoperiod plants. When you cut the photoperiod plants back to 12/12 you will be taking some light away from the autos that they could have used if you hadn't cut back on the light _so if they mature first (faster) they will get more light for longer than if you started them at the same time as the photoperiod. Best way to do this is to start the autos 4 weeks before the photoperiod but that extends your grow by a month or more (if your photoperiod plants flower in 65-80 days)..
2. different strains mean different plant heights (usually) so even with training you may need "lifts" to get your short plants up to the level of the taller ones_ works well but just more work.
3. different strains may require different amounts of nutrients so you'll need to keep a close eye on them for any deficiencies or toxicity.
4. same thing goes for light intensity and with just one light you'll have to be able to move the plants vertically to make adjustments for intensity.
5. Another consideration is that I usually like to start germinating twice as many seeds as I want from any specific strain so I can choose the best two of each. It all depends on how many plants you want to have to grow to maturity.
Numbers 4 & 5 are also really only workable if you are using individual planters/containers for your plants.
For me its worth the extra effort to have 3 strains with each harvest. There are just so many tempting ones out there that its hard to make up your mind! I usually chose what strains I'm going to plant by what I can't get in a dispensary!