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Conor Harte marked his 200th Irish appearance by levelling after Aleem Bilal Muhammad put the visitors ahead.
Ali Shan restored Pakistan's lead before half-time but Jeremy Duncan's late goal earned the Irish a draw.
The sides will meet again on Saturday and Sunday as the Irish continue their preparations for the World League semi-finals in Johannesburg next month.
The South African tournament doubles up as the main qualifying tournament for next year's World Cup.
The weekend games at Lisnagarvey start at 14:00 BST.
Later this month, Ireland will play against Germany, Spain and Austria at the Hamburg Masters which takes place from 22-25 June.
Ireland's men drew 2-2 with Pakistan in the first game of the three-match series at Lisnagarvey.