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If you mean print at 300 pixels per inch (dpi isn't the same thing at least in the print world) then that's simple in e.g. Photoshop, but if the image is 1080 pixels across, then the print will be 3.6" across.
If you want to print the existing image bigger, it won't be at 300 ppi.
If you want it bigger and 300 ppi, then you need to resample (i.e. interpolate) to add more pixels. Whether this makes any visible difference is very dependent on your output process, paper, etc.
Remember "300 ppi for print" is a rule of thumb for photographic images on high quality paper viewed close up. It doesn't apply for large posters, banners, etc.
What are you doing with the print?
Is it possible to get a still from an HD video (ProRes QT) to print at 300 DPI?
I have Photoshop, Final Cut Pro etc