Your picture....the travel (compression stroke) is a function of spring rate, not shocking. You haven't offered enough information to answer the question as an exact yes or no.
You are asking questions that require an M.Eng. on both sides of the conversation. The Kinetic energy portion of suspension design is wrapped up in a soup made from Physics, Trigonometry, Hydraulics, Metallurgy, etc. The only thing a shock delivers to your question is the stroke distance of the piston. If it's not enough for the travel needed, then the bottoming out will be harsh and noticeable. Your red line symbol would be articulated using trig (arc cosine) based on known angles (to figure the unknown angles), vertical motion measured at the axle, distance of the fulcrum. Sprung and un-sprung weight motion and engergy dispersion is a function of the shock. FYI, shocks that are designed to be 'upside down' are done this way to reduce a few ounces of the un-sprung weight, it isn't a cosmetic 'cool factor'.
If you have a university near you with an engineering department...go there. Seek out a mechanical track undergrad that would take on your design issues and let them have at it. They will know more than you. You will benefit. It may benefit them as well to do a real world task. They might be able to sell the idea as a paper to get credit, you may want to pay them....whatever you can work out.
Or.....copy what someone else has already done that fits your concept and accept the result. Take the path of least resistance.