可能形 => Potential form N4
~をかわきりに(~を皮切りに)      => One after another; starting with ~ N1
切る => Give up, stop... N3
Happens next
切る/切れる/切れない => to do something completely to the end/unable to do; too much to finish/complete N3
を契機に => as a good opportunity/chance to N2
Expected
[切「き」]れない => Can't finish/complete A N3
Potential, Possibility
を[機「き」]に => Use A as an opportunity N1
Time, Situation
~ひょうしに(~拍子に)   => the moment [A], unintentionally / inadvertently caused something to happen N1
~にてらして(に照らして)      => according to; in view of; in light of ~ N1
[可能系「かのうけい」] => Can, be able to, be possible to N4
Can, Should, Must
を[契機「けいき」] => As a good opportunity A, (do) B N2
Information, Report
をきっかけに/を契機に => with… as a start; as a result of; taking advantage of N2