No. Your capital loss carryover does not have any impact on taking the standard deduction.
However, your standard deduction might (unliikely) have an impact on your capital loss carry over. Basically you are allowed to use you standard or itemized deductions
to reduce your taxable income before having to use any of your capital loss.
Another way to say it is: If your standard (or itemized) deduction
is greater than AGI, without capital loss, then all your capital loss is carried forward.
