Shall we claim the GST Tax on vehicle

Vehicle used for transportation of goods then you can claim, other wise NO. ( other than a motor driving school)

if it is in business name then you can get ITC

Credit can be availed if it is goods transport vehicle

If we purchase a 2 wheeler for our business use means we are delivery parcels for e.g. amazon then we are may or not.

I had checked on "https://www.hrblock.in/earlygst/section-17-5-gst/" where it is clearly mentioned that we can claim ITC for 2 wheeler .