short answer - no
longer answer - HDD's vs SSD's as far as games are concerned should only affect loading times when starting up the game or mabye loading new areas while youre playing. so potentially small skips here or there if youre switching areas but once youre in a zone, you should be fine. what most people do tho is install their 1 to 2 main games on the SSD and move the rest to the HDD.
i would re evaluate your ssd useage tho and maybe you can move some stuff off of it and to the HDD.