应该是：
Could
I
give
you
a
hug
?
不要用can,用could，比较婉转。
may
I
give
you
a
brace
或者
Can
I
hug
you
要委婉一点就用could
要委婉点儿 Would you mind my giving you a hug?
Can I hold you in my arms? / May I give a hug to you?
could
i
hug
you?
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