I am post FUE day 26 and I vomited, did I dislodge the grafts? (Photo)

The answer is simply No. You should not have any dis lodging of grafts from vomiting at this point post op. In fact you should have lost all scabs completely from the donor or recipient area. Please consult with your hair surgeon.

It is not clear how vomiting can affect your hair transplant results ... especially after one month.  If you are concerned follow up with your doctor.

After the 6th day following your procedure, your grafts are no longer at risk for loss.  The red spots most likely indicate areas where grafts were placed.  The grafts should dislodge the follicles that were transplanted after two weeks.  When the grafts fail to lose the follicles, pimples will form over time.  These red spots are most likely pimples from retained hair follicles that were transplanted.  

After 26 days, the grafts are well-healed after a hair transplant.  It is unlikely that any damage was done at this point to the transplanted grafts.  The grafts are now in a dormant phase and you can expect the start of regrowth around 4 to 6 months after the procedure.  If you have any specific questions or concerns it is best to ask your surgeon.    

This looks very normal. There are still some scabs but you should try to be more aggressive with your hair washes to remove the left over scabs. The grafts are only the most vulnerable for the first 3-6 days. Then you are able to repeat your daily activities. By the 26th day nothing is going to dislodge the grafts, they are placed and secure to grow for life. 

By the 26th day, the grafts should be secure. I am not sure why you had some bleeding there but I coubt that you could have lost grafts