Box 14 on w2 shows CA VSDI tax is that the same as CA SDI tax?

No, that is Voluntary State Disability Insurance and it is NOT a deductible state/local tax like regular SDI is.

How would you account for "CA VSDI Tax" while doing taxes? Box 14 say CA VSDI but the only options I see are SDI or VDI that I can choose. Would I simply click select the "Other" option and enter the amount given on the W2?

Mine is also CA VSDI, can I still  put down the amount for box 14?

You can report that in Box 14 of your W-2. 

Box 14 is used for reporting amounts your employer and/or payroll want to keep track of, but has no impact on your tax. 

Amounts that can affect your tax liability won't be reported there.