I answer yes.

I offer as evidence Charles Hodge on First Corinthians 10.12:

…There is perpetual danger of falling. No degree of progress we may have already made, no amount of privileges which we may have enjoyed, can justify the want of caution. Let him that thinketh he standeth, that is, let him who thinks himself secure. This may refer either to security of salvation, or against the power of temptation. The two are very different, and rest generally on different grounds. False security of salvation commonly rests on the ground of our belonging to a privileged body (the church), or to a privileged class (the elect). Both are equally fallacious. Neither the members of the church nor the elect can be saved unless they persevere in holiness; and they cannot persevere in holiness without continual watchfulness and effort. False security as to our power to resist temptation rests on an overweening self-confidence in our own strength. None are so liable to fall as they who, thinking themselves strong, heedlessly run into temptation (Commentary on I and II Corinthians, Banner of Truth, p. 181).

If Hodge could deal with 1 Corinthians 10.12 in so honest a fashion, I think there is no reason to think he would hesitate to do so in the case of Hebrews.

But Calvinists like Hodge are now a dying and forgotten breed.