Yes you can
An Act to consolidate the Firearms Acts 1937 and 1965, the Air Guns and Shot Guns, etc. , Act 1962, Part V of the Criminal Justice Act 1967 and certain enactments amending the Firearms Act 1937.
www.legislation.gov.uk
Section 11A of the firarms act, subsection 1:
(1)A person (“the borrower”) may, without holding a certificate under this Act, borrow a rifle or shot gun from another person on private premises (“the lender”) and have the rifle or shot gun in his or her possession on those premises if—
(a)the four conditions set out in subsections (2) to (5) are met, and
(b)in the case of a rifle, the borrower is aged 17 or over.
Subsections 2 to 5 say:
(2) The first condition is that the borrowing and possession of the rifle or shot gun are for either or both of the following purposes—
(a)hunting animals or shooting game or vermin;
(b)shooting at artificial targets.
(3)The second condition is that the lender—
(a)is aged 18 or over,
(b)holds a certificate under this Act in respect of the rifle or shot gun, and
(c)is either—
(i)a person who has a right to allow others to enter the premises for the purposes of hunting animals or shooting game or vermin, or
(ii)a person who is authorised in writing by a person mentioned in sub-paragraph (i) to lend the rifle or shot gun on the premises (whether generally or to persons specified in the authorisation who include the borrower).
(4)The third condition is that the borrower's possession and use of the rifle or shot gun complies with any conditions as to those matters specified in the lender's certificate under this Act.
(5) The fourth condition is that, during the period for which the rifle or shot gun is borrowed, the borrower is in the presence of the lender or—
(a)where a rifle is borrowed, a person who, although not the lender, is aged 18 or over, holds a certificate under this Act in respect of that rifle and is a person described in subsection (3)(c)(i) or (ii);
Read the above or go to the link. Digest what it says and be confident in the understanding that you may use an estate rifle for the purposes of deer stalking under any conceivable law-abiding scenario.