Conditions for Repentance
The word "perhaps" or "may" in 2Tim 2:25 and other similar passages signify hope or prayer. Paul is hopeful that if they sincerely turn from the heresies and unrighteousness or iniquities, and seek spirituality, truth, godliness, they will succeed in repenting. Regarding repentance, see Ezekiel 18 and 33.
[NASB Ezek 33:10-16]
10"Now as for you, son of man, say to the house of Israel, 'Thus you have spoken, saying, "Surely our transgressions and our sins are upon us, and we are rotting away in them; how then can we survive?"' 11"Say to them, 'As I live!' declares the Lord GOD, 'I take no pleasure in the death of the wicked, but rather that the wicked turn from his way and live. Turn back, turn back from your evil ways! Why then will you die, O house of Israel?' 12"And you, son of man, say to your fellow citizens, 'The righteousness of a righteous man will not deliver him in the day of his transgression, and as for the wickedness of the wicked, he will not stumble because of it in the day when he turns from his wickedness; whereas a righteous man will not be able to live by his righteousness on the day when he commits sin.' 13"When I say to the righteous he will surely live, and he [so] trusts in his righteousness that he commits iniquity, none of his righteous deeds will be remembered; but in that same iniquity of his which he has committed he will die. 14"But when I say to the wicked, 'You will surely die,' and he turns from his sin and practices justice and righteousness, 15[if a] wicked man restores a pledge, pays back what he has taken by robbery, walks by the statutes which ensure life without committing iniquity, he shall surely live; he shall not die. 16"None of his sins that he has committed will be remembered against him. He has practiced justice and righteousness; he shall surely live.
The only condition for repentance is sincerity and confessing to God instead of hiding the sins.
[NASB 1John 1:6-10]
6If we say that we have fellowship with Him and [yet] walk in the darkness, we lie and do not practice the truth; 7but if we walk in the Light as He Himself is in the Light, we have fellowship with one another, and the blood of Jesus His Son cleanses us from all sin. 8If we say that we have no sin, we are deceiving ourselves and the truth is not in us. 9If we confess our sins, He is faithful and righteous to forgive us our sins and to cleanse us from all unrighteousness. 10If we say that we have not sinned, we make Him a liar and His word is not in us.
Easton's Bible Dictionary, Repentance:
There are three Greek words used in the New Testament to denote
repentance. (1.) The verb metamelomai is used of a change of mind,
such as to produce regret or even remorse on account of sin, but not
necessarily a change of heart. This word is used with reference to the
repentance of Judas (Mat 27:3).
(2.) Metanoeo, meaning to change one's mind and purpose, as the result
of after knowledge. This verb, with (3) the cognate noun metanoia, is
used of true repentance, a change of mind and purpose and life, to
which remission of sin is promised.
Evangelical repentance consists of (1) a true sense of one's own guilt
and sinfulness; (2) an apprehension of God's mercy in Christ; (3) an
actual hatred of sin (Psa 119:128; Job 42:5,6; 2Cr 7:10) and turning
from it to God; and (4) a persistent endeavour after a holy life in a
walking with God in the way of his commandments.
The true penitent is conscious of guilt (Psa 51:4,9), of pollution
(51:5,7,10), and of helplessness (51:11; 109:21,22). Thus he
apprehends himself to be just what God has always seen him to be and
declares him to be. But repentance comprehends not only such a sense
of sin, but also an apprehension of mercy, without which there can be
no true repentance (Psa 51:1; 130:4).
Regarding the phrase about granting repentance, Bullinger's Figures of speech book is key to understand Biblical figurative language. Passive works are often written as active verbs in the Hebrew theology. So technically God doesn't grant repentance, but allows it through man's freewill, though such language depicts the sovereignty of God, it often causes confusion to those unlearned of the Hebrew literature and theology.