"Kurtulabilirsin" would be wrong here?
kurtulmak is closer to "To get rid of" or "to discard" and things along the lines of that :) You can say "senden kurtuluyorum" to mean "I am evading you." It does not mean escape though :)
I believe the confusion comes from this Duo sentence:
Are there certain contexts when "kurtulmak" is more appropriate than "kaçmak"?
Açıklaman için teşekkürler! :)