Can I take direct addmission after diploma for BCA in Pune University?

Yes, you can get direct admission to Pune University BCA, after your diploma, provided you meet the eligibility criteria. PU accepts diploma of two years in Pharmacy, and diploma of three years (after 10th board) from the Board of Technical Education authorized by Govt. of Maharashtra or equivalent. 

Note that PU doesn’t offer later admission to BCA. You can’t get admission to the second year of BCA, after completion of your diploma.