If a peptide is designed by phage display , is it 100% accurately bind to the desired target protein or we need to perform Surface Plasma Resonance to study this ?
You should go for SPR because SPR is highly sensitive and can provide you with quantitative data on binding affinity and kinetics, including association and dissociation rate constants. It is mostly used to study interactions between a variety of ligand-receptor pairs.
If you are considering to use phage display, you should be aware of its drawbacks.
Phage display is a biopanning technology that can introduce biases. Moreover, phage display can be challenging for receptors with intricate structures, particularly those that are membrane-bound (for example, G protein-coupled receptors). Also, non-specific binders can complicate the analysis of true ligand-receptor interactions using phage display.
I would suggest you perform SPR as phage display may not be 100% accurate.