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You can have traits that are shared. It's somewhat complicated, though. The basic genetic sharing between a first cousin twice removed and you is 1/32. So, assuming the trait in question is coded by a single place on the genome, it's roughly 1/32 chance that it will be inherited (see below)
That's for general inheritance. There's also two sex-linked forms of inheritance: Y chromosome inheritance (which goes through males) and mitochondrial inheritance (which goes through females). If you're in purely female or purely male lines, you not only may but will share significant genetic traits with your first cousin twice removed.
That is, if the first cousin twice removed is the son of a brother of your paternal grandfather, you will share an Y chromosome. If your first cousin twice removed is the daughter of the sister of your maternal grandmother, you will share mitochondrial DNA structure.
Inheritance fraction:
Your first cousin, twice removed is your grandparent's cousin. You and your grandparent share 1/4 of your genes (your share 1/2 with your parent, which again share 1/2 with your grandparent). Your grandparent and their cousin share 1/8 of their genes (1/2 with your great-grand parent, who again share 1/2 with their sibling, who again share 1/2 with their child which would be the cousin). 1/4 of 1/8 is 1/32, so the net a similarity to a second cousin twice removed is 1/32. Your first cousin, twice removed, may also be the grandchild of your first cousin.
You share a common ancestor with your first cousin twice removed so it is possible that the two of you share traits inherited from that common ancestor.
However, since your first cousin twice removed has many more ancestors who are not shared with you, the likelihood of the two of you sharing traits is small, unless both of you have ancestry that is almost entirely from the same ethnic group and small community.
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Can you and your first cousin twice removed have any similar traits?
Certainly it can happen that you and your first cousin, twice removed, may have similar traits, but there is no rule that says it will always happen.
What is your grandad's cousin to you?
Your grandmother's second cousin is also your second cousin, but twice removed. The twice removed means the number of generations between you. Your mother's first cousin is your first cousin once removed. If your mother's first cousin has children, they are your second cousins.
What is your cousin to your grandfather?
Your grandfather's first cousin is your first cousin, twice removed. His second cousin is your second cousin, twice removed.
What relation to you is your grandfather's cousin?
Your grandfather's first cousin is your first cousin, twice removed. His second cousin is your second cousin, twice removed.
What is your relationship to the son of your first cousin twice removed?
The son of your first cousin, twice removed, is your first cousin, thrice (3 times) removed.
What is the relationship of my first cousin's granddaughter to me?
Your first cousin's grandsons are your first cousins, twice removed.
What would your cousin's grandson be to you?
Your first cousin's grandson is your first cousin, twice removed. Your second cousin's grandson is your second cousin, twice removed.
How are you related to your grandmother's cousin?
Your grandmother's first cousin is your first cousin, twice removed. Your grandmother's second cousin is your second cousin, twice removed.
What relationship is your cousin's granddaughter to you?
Your granddaughter and your first cousin are first cousins, twice removed, to each other.
How are you related to the children of your first cousin once removed?
The nephews of your first cousin once removed, like the children of your first cousin once removed, are your first cousins twice removed.
What do you call your first cousin once removed's child?
The child of your first cousin, once removed, is your first cousin, twice removed, if your first cousin once removed is the child of your first cousin. If your first cousin once removed in the first cousin of one of your parents, the child is your second cousin.
Is your first cousin twice removed still related to you?
Yes, your first cousin twice removed is still related to you.
