hii, which uni around Stockton-On-Tees or like 1 hour away from there would accept with health and social care L3 and applied science for pharmacist?
I suggest you locate the universities which meet your geographical requirements yourself, as phrases like "1 hour away* are a tad vague. (By car? By train? Allowing time to/from the station? How far are you from the station? Etc.)
There universities which I suspect would work geographically are Teeside University, University of Sunderland and Newcastle University.
Teeside don't offer a Pharmacy degee; Newcastle do, but won't accept BTECs it. That leaves Sunderland. Fortunately their entry requirements (stated here) are: "120 UCAS Tariff points, from a combination of acceptable Level 3 qualifications which may include: A Levels, T Levels, BTEC Diplomas/Extended Diplomas, Scottish and Irish Highers, Access to HE Diplomas, or the International Baccalaureate."
Would the University of Sunderland work, in terms of distance?