I don't think so, since marry other faction's princess doesn't affect the heir's stats.

Generally, good King usually to produce good heirs, but there is no guarantee.

Currently, I have King with 9 influence, 3 command, 3 accumen, all good V&V (fine leader, mighty warrior, occasional mercy, magnificient builder, magnificient steward) and he have 5 sons. 3 of the sons are good (good V&V and they all have leadership V&V - all have 3-5 command) but the other two are bad (no command, no accumen - one is coward and one is perversion and loonatic).

One thing that I try to gather more evidence is: if prince(s) grow up in a glorious time of the King during which the King win many battles and have his influence increase, these prince(s) usually grow up into good heirs who would likely have good leadership and warrior V&V and have high command. OTOH, any prince that grow up during a long idle time of the King will likely have bad V&V and low command. Some of the V&V seem to be assigned randomly. I only take some notes in the last two campaigns and certainly don't have enough evidence to back up my words.