Purification of Solid Phase Synthesized Peptide
If you are a using reversed-phase (RP) column, it is okay to directly inject your crude sample in the running HPLC solvent system.  But, make sure to filter the injecting sample through a membrane filter to remove minute particles (from glass beats, etc.) from the original sample after dissolving it in suitable chosen solvent. Please also note that your chosen solvent for peptide separation usually contain small percentage of TFA. Therefore, you may need at least a rotary evaporator  for final concentration.