The full cap table probably not. But you generally don't need that to ascertain the most important parts of startup compensation.
I generally ask these questions:
1. What was the pre/post money valuation of the company at the last round.
2. How much runway do they have right now including already planned increases in burn (i.e hiring plans for the quarter/year).
3. What % interest in the company would my options grant represent? (you use this in combination with the information about the valuation to determine value of said grant)
4. Who are the major non-founder investors in the company? (this is generally public knowledge because investors love to announce these but it's worth asking). Sometimes the CEO will also divulge details about how they work with their investors, level of involvement, board seats etc. CEOs love to talk about these things for some reason.
5. When do they plan to raise money next and do they feel like they are meeting the metrics required for an up round? If not then how does my hiring or other planned hiring seek to address that?
The last question is actually really important and generally how I a) tie my employment to actual value at the company and b) justify my compensation in negotiation stage and/or later negotiations when I can show how my performance has directly affected these important metrics.
Any company worth their salt at the sort of stage where these questions are relevant will answer these, the degree of detail will depend on transparency of the leadership.
Generally speaking when looking to join a company of this size you will be meeting with the CEO, usually after meeting everyone else and before negotiating compensation - that is when you ask these questions and this is exactly what that meeting is for.
If they don't want to answer these then take that as a sign things are worse than they seem and perhaps negotiate for a more cash rich compensation and don't bet hard on the companies future.