Greek work for effort is
Strong’s Definitions [?](Strong’s Definitions Legend)
σπουδάζω spoudázō, spoo-dad'-zo; from
G4710; to use speed, i.e. to make effort, be prompt or earnest:—do (give) diligence, be diligent (forward), endeavour, labour, study.
So NO you cannot get into heave by your effort -----
Grace provides what is needed to get into heaven ----our Faith just receives it ----there is no labour on our part required to get into heaven
When you receive something ----that is free you did nothing for it -------it is a free gift ----
Now many may say that receiving is an effort ----but that is not so ---
Strong's Concordance
dechomai: to receive
Usage: receive, accept, welcome.
So your just accepting or welcoming in by your Saving Faith what is already made available to you to get into heaven ----
there is no work that you did to get into heaven ---Jesus did the work ---we receive what Jesus did to get us into heaven ----