Yes, you can certainly put in a claim.
The eligibility criteria for personal independence payment (PIP) are quite different to the criteria for disability living allowance (DLA), so some people who were refused an award of DLA may be eligible for PIP.
The fact that you have been refused DLA in the past should not generally be relevant to your PIP claim. However, if you have had a recent medical in relation to DLA it is possible that he medical report will be used as evidence when deciding your claim for PIP.
We support both claimants and professionals. These are just some of the organisations who have subscribed to Benefits and Work:
Royal College of Nursing | Birmingham CAB
Spinal Injuries Association | Coventry Mind
Chesterfield Law Centre | Colchester Borough Council